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Finding the Third Proportional to 145,932 and 317,424

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Solution

The third proportional to 145,932 and 317,424 is: 690,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,932 : 317,424 = 317,424 : x
  2. Step 2: Convert to fraction form
    145,932/317,424 = 317,424/x
  3. Step 3: Cross multiply
    145,932x = 317,424 × 317,424
  4. Step 4: Simplify right side
    145,932x = 100,757,995,776
  5. Step 5: Solve for x
    x = 100,757,995,776/145,932
  6. Step 6: Final answer
    x = 690,444.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.