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Finding the Third Proportional to 186,664 and 252,348

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Solution

The third proportional to 186,664 and 252,348 is: 341,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,664 : 252,348 = 252,348 : x
  2. Step 2: Convert to fraction form
    186,664/252,348 = 252,348/x
  3. Step 3: Cross multiply
    186,664x = 252,348 × 252,348
  4. Step 4: Simplify right side
    186,664x = 63,679,513,104
  5. Step 5: Solve for x
    x = 63,679,513,104/186,664
  6. Step 6: Final answer
    x = 341,145.12

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.