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Finding the Third Proportional to 145,347 and 301,629

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Solution

The third proportional to 145,347 and 301,629 is: 625,950.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,347 : 301,629 = 301,629 : x
  2. Step 2: Convert to fraction form
    145,347/301,629 = 301,629/x
  3. Step 3: Cross multiply
    145,347x = 301,629 × 301,629
  4. Step 4: Simplify right side
    145,347x = 90,980,053,641
  5. Step 5: Solve for x
    x = 90,980,053,641/145,347
  6. Step 6: Final answer
    x = 625,950.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.