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Finding the Third Proportional to 236,666 and 357,463

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Solution

The third proportional to 236,666 and 357,463 is: 539,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,666 : 357,463 = 357,463 : x
  2. Step 2: Convert to fraction form
    236,666/357,463 = 357,463/x
  3. Step 3: Cross multiply
    236,666x = 357,463 × 357,463
  4. Step 4: Simplify right side
    236,666x = 127,779,796,369
  5. Step 5: Solve for x
    x = 127,779,796,369/236,666
  6. Step 6: Final answer
    x = 539,916.15

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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.