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Finding the Third Proportional to 174,073 and 234,862

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Solution

The third proportional to 174,073 and 234,862 is: 316,879.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,073 : 234,862 = 234,862 : x
  2. Step 2: Convert to fraction form
    174,073/234,862 = 234,862/x
  3. Step 3: Cross multiply
    174,073x = 234,862 × 234,862
  4. Step 4: Simplify right side
    174,073x = 55,160,159,044
  5. Step 5: Solve for x
    x = 55,160,159,044/174,073
  6. Step 6: Final answer
    x = 316,879.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.