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Finding the Third Proportional to 145,351 and 301,637

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Solution

The third proportional to 145,351 and 301,637 is: 625,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,351 : 301,637 = 301,637 : x
  2. Step 2: Convert to fraction form
    145,351/301,637 = 301,637/x
  3. Step 3: Cross multiply
    145,351x = 301,637 × 301,637
  4. Step 4: Simplify right side
    145,351x = 90,984,879,769
  5. Step 5: Solve for x
    x = 90,984,879,769/145,351
  6. Step 6: Final answer
    x = 625,966.66

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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.