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Finding the Third Proportional to 235,095.75 and 352,642.50

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Solution

The third proportional to 235,095.75 and 352,642.50 is: 528,962.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,095.75 : 352,642.50 = 352,642.50 : x
  2. Step 2: Convert to fraction form
    235,095.75/352,642.50 = 352,642.50/x
  3. Step 3: Cross multiply
    235,095.75x = 352,642.50 × 352,642.50
  4. Step 4: Simplify right side
    235,095.75x = 124,356,732,806.25
  5. Step 5: Solve for x
    x = 124,356,732,806.25/235,095.75
  6. Step 6: Final answer
    x = 528,962.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.