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Finding the Third Proportional to 157,584 and 328,464

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Solution

The third proportional to 157,584 and 328,464 is: 684,641.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,584 : 328,464 = 328,464 : x
  2. Step 2: Convert to fraction form
    157,584/328,464 = 328,464/x
  3. Step 3: Cross multiply
    157,584x = 328,464 × 328,464
  4. Step 4: Simplify right side
    157,584x = 107,888,599,296
  5. Step 5: Solve for x
    x = 107,888,599,296/157,584
  6. Step 6: Final answer
    x = 684,641.84

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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.