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Finding the Third Proportional to 153,532 and 330,396

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Solution

The third proportional to 153,532 and 330,396 is: 711,001.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,532 : 330,396 = 330,396 : x
  2. Step 2: Convert to fraction form
    153,532/330,396 = 330,396/x
  3. Step 3: Cross multiply
    153,532x = 330,396 × 330,396
  4. Step 4: Simplify right side
    153,532x = 109,161,516,816
  5. Step 5: Solve for x
    x = 109,161,516,816/153,532
  6. Step 6: Final answer
    x = 711,001.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.