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Finding the Third Proportional to 145,972 and 320,432

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Solution

The third proportional to 145,972 and 320,432 is: 703,399.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,972 : 320,432 = 320,432 : x
  2. Step 2: Convert to fraction form
    145,972/320,432 = 320,432/x
  3. Step 3: Cross multiply
    145,972x = 320,432 × 320,432
  4. Step 4: Simplify right side
    145,972x = 102,676,666,624
  5. Step 5: Solve for x
    x = 102,676,666,624/145,972
  6. Step 6: Final answer
    x = 703,399.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.