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Finding the Third Proportional to 140,555.25 and 307,324.13

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Solution

The third proportional to 140,555.25 and 307,324.13 is: 671,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,555.25 : 307,324.13 = 307,324.13 : x
  2. Step 2: Convert to fraction form
    140,555.25/307,324.13 = 307,324.13/x
  3. Step 3: Cross multiply
    140,555.25x = 307,324.13 × 307,324.13
  4. Step 4: Simplify right side
    140,555.25x = 94,448,117,807.02
  5. Step 5: Solve for x
    x = 94,448,117,807.02/140,555.25
  6. Step 6: Final answer
    x = 671,964.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.