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Finding the Third Proportional to 174,583.13 and 278,938.69

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Solution

The third proportional to 174,583.13 and 278,938.69 is: 445,671.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,583.13 : 278,938.69 = 278,938.69 : x
  2. Step 2: Convert to fraction form
    174,583.13/278,938.69 = 278,938.69/x
  3. Step 3: Cross multiply
    174,583.13x = 278,938.69 × 278,938.69
  4. Step 4: Simplify right side
    174,583.13x = 77,806,791,384.22
  5. Step 5: Solve for x
    x = 77,806,791,384.22/174,583.13
  6. Step 6: Final answer
    x = 445,671.89

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.