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Finding the Third Proportional to 119,097.38 and 255,462.94

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Solution

The third proportional to 119,097.38 and 255,462.94 is: 547,966.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,097.38 : 255,462.94 = 255,462.94 : x
  2. Step 2: Convert to fraction form
    119,097.38/255,462.94 = 255,462.94/x
  3. Step 3: Cross multiply
    119,097.38x = 255,462.94 × 255,462.94
  4. Step 4: Simplify right side
    119,097.38x = 65,261,312,436.13
  5. Step 5: Solve for x
    x = 65,261,312,436.13/119,097.38
  6. Step 6: Final answer
    x = 547,966.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.