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Finding the Third Proportional to 174,931.88 and 278,487

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Solution

The third proportional to 174,931.88 and 278,487 is: 443,344.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,931.88 : 278,487 = 278,487 : x
  2. Step 2: Convert to fraction form
    174,931.88/278,487 = 278,487/x
  3. Step 3: Cross multiply
    174,931.88x = 278,487 × 278,487
  4. Step 4: Simplify right side
    174,931.88x = 77,555,009,169
  5. Step 5: Solve for x
    x = 77,555,009,169/174,931.88
  6. Step 6: Final answer
    x = 443,344.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.