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Finding the Third Proportional to 144,902.04 and 309,058.03

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Solution

The third proportional to 144,902.04 and 309,058.03 is: 659,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,902.04 : 309,058.03 = 309,058.03 : x
  2. Step 2: Convert to fraction form
    144,902.04/309,058.03 = 309,058.03/x
  3. Step 3: Cross multiply
    144,902.04x = 309,058.03 × 309,058.03
  4. Step 4: Simplify right side
    144,902.04x = 95,516,866,680.13
  5. Step 5: Solve for x
    x = 95,516,866,680.13/144,902.04
  6. Step 6: Final answer
    x = 659,182.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.