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Finding the Third Proportional to 153,792 and 330,588

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Solution

The third proportional to 153,792 and 330,588 is: 710,624.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,792 : 330,588 = 330,588 : x
  2. Step 2: Convert to fraction form
    153,792/330,588 = 330,588/x
  3. Step 3: Cross multiply
    153,792x = 330,588 × 330,588
  4. Step 4: Simplify right side
    153,792x = 109,288,425,744
  5. Step 5: Solve for x
    x = 109,288,425,744/153,792
  6. Step 6: Final answer
    x = 710,624.91

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