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Finding the Third Proportional to 186,597 and 280,831.50

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Solution

The third proportional to 186,597 and 280,831.50 is: 422,655.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,597 : 280,831.50 = 280,831.50 : x
  2. Step 2: Convert to fraction form
    186,597/280,831.50 = 280,831.50/x
  3. Step 3: Cross multiply
    186,597x = 280,831.50 × 280,831.50
  4. Step 4: Simplify right side
    186,597x = 78,866,331,392.25
  5. Step 5: Solve for x
    x = 78,866,331,392.25/186,597
  6. Step 6: Final answer
    x = 422,655.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.