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Finding the Third Proportional to 173,584 and 357,552

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Solution

The third proportional to 173,584 and 357,552 is: 736,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,584 : 357,552 = 357,552 : x
  2. Step 2: Convert to fraction form
    173,584/357,552 = 357,552/x
  3. Step 3: Cross multiply
    173,584x = 357,552 × 357,552
  4. Step 4: Simplify right side
    173,584x = 127,843,432,704
  5. Step 5: Solve for x
    x = 127,843,432,704/173,584
  6. Step 6: Final answer
    x = 736,493.18

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.