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Finding the Third Proportional to 133,721.44 and 293,686.88

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Solution

The third proportional to 133,721.44 and 293,686.88 is: 645,012.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,721.44 : 293,686.88 = 293,686.88 : x
  2. Step 2: Convert to fraction form
    133,721.44/293,686.88 = 293,686.88/x
  3. Step 3: Cross multiply
    133,721.44x = 293,686.88 × 293,686.88
  4. Step 4: Simplify right side
    133,721.44x = 86,251,980,547.27
  5. Step 5: Solve for x
    x = 86,251,980,547.27/133,721.44
  6. Step 6: Final answer
    x = 645,012.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.