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Finding the Third Proportional to 145,564 and 308,624

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Solution

The third proportional to 145,564 and 308,624 is: 654,342.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,564 : 308,624 = 308,624 : x
  2. Step 2: Convert to fraction form
    145,564/308,624 = 308,624/x
  3. Step 3: Cross multiply
    145,564x = 308,624 × 308,624
  4. Step 4: Simplify right side
    145,564x = 95,248,773,376
  5. Step 5: Solve for x
    x = 95,248,773,376/145,564
  6. Step 6: Final answer
    x = 654,342.92

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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.