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Finding the Third Proportional to 235,831.50 and 532,352.25

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Solution

The third proportional to 235,831.50 and 532,352.25 is: 1,201,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,831.50 : 532,352.25 = 532,352.25 : x
  2. Step 2: Convert to fraction form
    235,831.50/532,352.25 = 532,352.25/x
  3. Step 3: Cross multiply
    235,831.50x = 532,352.25 × 532,352.25
  4. Step 4: Simplify right side
    235,831.50x = 283,398,918,080.06
  5. Step 5: Solve for x
    x = 283,398,918,080.06/235,831.50
  6. Step 6: Final answer
    x = 1,201,700.87

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.