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Finding the Third Proportional to 102,037.13 and 238,273.13

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Solution

The third proportional to 102,037.13 and 238,273.13 is: 556,406.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,037.13 : 238,273.13 = 238,273.13 : x
  2. Step 2: Convert to fraction form
    102,037.13/238,273.13 = 238,273.13/x
  3. Step 3: Cross multiply
    102,037.13x = 238,273.13 × 238,273.13
  4. Step 4: Simplify right side
    102,037.13x = 56,774,082,097.27
  5. Step 5: Solve for x
    x = 56,774,082,097.27/102,037.13
  6. Step 6: Final answer
    x = 556,406.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.