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Finding the Third Proportional to 153,512 and 330,352

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Solution

The third proportional to 153,512 and 330,352 is: 710,904.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,512 : 330,352 = 330,352 : x
  2. Step 2: Convert to fraction form
    153,512/330,352 = 330,352/x
  3. Step 3: Cross multiply
    153,512x = 330,352 × 330,352
  4. Step 4: Simplify right side
    153,512x = 109,132,443,904
  5. Step 5: Solve for x
    x = 109,132,443,904/153,512
  6. Step 6: Final answer
    x = 710,904.97

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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.