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Finding the Third Proportional to 153,187.88 and 224,631.56

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Solution

The third proportional to 153,187.88 and 224,631.56 is: 329,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,187.88 : 224,631.56 = 224,631.56 : x
  2. Step 2: Convert to fraction form
    153,187.88/224,631.56 = 224,631.56/x
  3. Step 3: Cross multiply
    153,187.88x = 224,631.56 × 224,631.56
  4. Step 4: Simplify right side
    153,187.88x = 50,459,338,871.19
  5. Step 5: Solve for x
    x = 50,459,338,871.19/153,187.88
  6. Step 6: Final answer
    x = 329,395.12

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.