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Finding the Third Proportional to 186,324 and 402,151.50

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Solution

The third proportional to 186,324 and 402,151.50 is: 867,981.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,324 : 402,151.50 = 402,151.50 : x
  2. Step 2: Convert to fraction form
    186,324/402,151.50 = 402,151.50/x
  3. Step 3: Cross multiply
    186,324x = 402,151.50 × 402,151.50
  4. Step 4: Simplify right side
    186,324x = 161,725,828,952.25
  5. Step 5: Solve for x
    x = 161,725,828,952.25/186,324
  6. Step 6: Final answer
    x = 867,981.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.