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Finding the Third Proportional to 174,944 and 252,862

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Solution

The third proportional to 174,944 and 252,862 is: 365,483.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,944 : 252,862 = 252,862 : x
  2. Step 2: Convert to fraction form
    174,944/252,862 = 252,862/x
  3. Step 3: Cross multiply
    174,944x = 252,862 × 252,862
  4. Step 4: Simplify right side
    174,944x = 63,939,191,044
  5. Step 5: Solve for x
    x = 63,939,191,044/174,944
  6. Step 6: Final answer
    x = 365,483.76

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.