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Finding the Third Proportional to 153,964.13 and 330,139.13

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Solution

The third proportional to 153,964.13 and 330,139.13 is: 707,904.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,964.13 : 330,139.13 = 330,139.13 : x
  2. Step 2: Convert to fraction form
    153,964.13/330,139.13 = 330,139.13/x
  3. Step 3: Cross multiply
    153,964.13x = 330,139.13 × 330,139.13
  4. Step 4: Simplify right side
    153,964.13x = 108,991,841,855.77
  5. Step 5: Solve for x
    x = 108,991,841,855.77/153,964.13
  6. Step 6: Final answer
    x = 707,904.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.