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Finding the Third Proportional to 153,022.13 and 359,932.13

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Solution

The third proportional to 153,022.13 and 359,932.13 is: 846,617.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,022.13 : 359,932.13 = 359,932.13 : x
  2. Step 2: Convert to fraction form
    153,022.13/359,932.13 = 359,932.13/x
  3. Step 3: Cross multiply
    153,022.13x = 359,932.13 × 359,932.13
  4. Step 4: Simplify right side
    153,022.13x = 129,551,134,607.02
  5. Step 5: Solve for x
    x = 129,551,134,607.02/153,022.13
  6. Step 6: Final answer
    x = 846,617.01

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.