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Finding the Third Proportional to 176,320.13 and 229,690.13

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Solution

The third proportional to 176,320.13 and 229,690.13 is: 299,214.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,320.13 : 229,690.13 = 229,690.13 : x
  2. Step 2: Convert to fraction form
    176,320.13/229,690.13 = 229,690.13/x
  3. Step 3: Cross multiply
    176,320.13x = 229,690.13 × 229,690.13
  4. Step 4: Simplify right side
    176,320.13x = 52,757,553,522.52
  5. Step 5: Solve for x
    x = 52,757,553,522.52/176,320.13
  6. Step 6: Final answer
    x = 299,214.59

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.