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Finding the Third Proportional to 176,785.88 and 273,681.28

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Solution

The third proportional to 176,785.88 and 273,681.28 is: 423,684.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,785.88 : 273,681.28 = 273,681.28 : x
  2. Step 2: Convert to fraction form
    176,785.88/273,681.28 = 273,681.28/x
  3. Step 3: Cross multiply
    176,785.88x = 273,681.28 × 273,681.28
  4. Step 4: Simplify right side
    176,785.88x = 74,901,443,706.64
  5. Step 5: Solve for x
    x = 74,901,443,706.64/176,785.88
  6. Step 6: Final answer
    x = 423,684.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.