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Finding the Third Proportional to 153,341.44 and 235,369.13

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Solution

The third proportional to 153,341.44 and 235,369.13 is: 361,276.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,341.44 : 235,369.13 = 235,369.13 : x
  2. Step 2: Convert to fraction form
    153,341.44/235,369.13 = 235,369.13/x
  3. Step 3: Cross multiply
    153,341.44x = 235,369.13 × 235,369.13
  4. Step 4: Simplify right side
    153,341.44x = 55,398,625,003.27
  5. Step 5: Solve for x
    x = 55,398,625,003.27/153,341.44
  6. Step 6: Final answer
    x = 361,276.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.