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Finding the Third Proportional to 142,506 and 307,854

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Solution

The third proportional to 142,506 and 307,854 is: 665,053.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,506 : 307,854 = 307,854 : x
  2. Step 2: Convert to fraction form
    142,506/307,854 = 307,854/x
  3. Step 3: Cross multiply
    142,506x = 307,854 × 307,854
  4. Step 4: Simplify right side
    142,506x = 94,774,085,316
  5. Step 5: Solve for x
    x = 94,774,085,316/142,506
  6. Step 6: Final answer
    x = 665,053.30

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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.