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Finding the Third Proportional to 174,964 and 278,535

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Solution

The third proportional to 174,964 and 278,535 is: 443,415.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,964 : 278,535 = 278,535 : x
  2. Step 2: Convert to fraction form
    174,964/278,535 = 278,535/x
  3. Step 3: Cross multiply
    174,964x = 278,535 × 278,535
  4. Step 4: Simplify right side
    174,964x = 77,581,746,225
  5. Step 5: Solve for x
    x = 77,581,746,225/174,964
  6. Step 6: Final answer
    x = 443,415.48

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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.