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Finding the Third Proportional to 142,510 and 307,862

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Solution

The third proportional to 142,510 and 307,862 is: 665,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,510 : 307,862 = 307,862 : x
  2. Step 2: Convert to fraction form
    142,510/307,862 = 307,862/x
  3. Step 3: Cross multiply
    142,510x = 307,862 × 307,862
  4. Step 4: Simplify right side
    142,510x = 94,779,011,044
  5. Step 5: Solve for x
    x = 94,779,011,044/142,510
  6. Step 6: Final answer
    x = 665,069.20

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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.