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Finding the Third Proportional to 145,042 and 307,508

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Solution

The third proportional to 145,042 and 307,508 is: 651,957.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,042 : 307,508 = 307,508 : x
  2. Step 2: Convert to fraction form
    145,042/307,508 = 307,508/x
  3. Step 3: Cross multiply
    145,042x = 307,508 × 307,508
  4. Step 4: Simplify right side
    145,042x = 94,561,170,064
  5. Step 5: Solve for x
    x = 94,561,170,064/145,042
  6. Step 6: Final answer
    x = 651,957.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.