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Finding the Third Proportional to 186,342 and 402,348

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Solution

The third proportional to 186,342 and 402,348 is: 868,746.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,342 : 402,348 = 402,348 : x
  2. Step 2: Convert to fraction form
    186,342/402,348 = 402,348/x
  3. Step 3: Cross multiply
    186,342x = 402,348 × 402,348
  4. Step 4: Simplify right side
    186,342x = 161,883,913,104
  5. Step 5: Solve for x
    x = 161,883,913,104/186,342
  6. Step 6: Final answer
    x = 868,746.25

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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.