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Finding the Third Proportional to 151,478 and 328,033

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Solution

The third proportional to 151,478 and 328,033 is: 710,371.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,478 : 328,033 = 328,033 : x
  2. Step 2: Convert to fraction form
    151,478/328,033 = 328,033/x
  3. Step 3: Cross multiply
    151,478x = 328,033 × 328,033
  4. Step 4: Simplify right side
    151,478x = 107,605,649,089
  5. Step 5: Solve for x
    x = 107,605,649,089/151,478
  6. Step 6: Final answer
    x = 710,371.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.