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Finding the Third Proportional to 153,432 and 328,186

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Solution

The third proportional to 153,432 and 328,186 is: 701,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,432 : 328,186 = 328,186 : x
  2. Step 2: Convert to fraction form
    153,432/328,186 = 328,186/x
  3. Step 3: Cross multiply
    153,432x = 328,186 × 328,186
  4. Step 4: Simplify right side
    153,432x = 107,706,050,596
  5. Step 5: Solve for x
    x = 107,706,050,596/153,432
  6. Step 6: Final answer
    x = 701,979.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.