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Finding the Third Proportional to 232,158.13 and 502,959.50

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Solution

The third proportional to 232,158.13 and 502,959.50 is: 1,089,637.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,158.13 : 502,959.50 = 502,959.50 : x
  2. Step 2: Convert to fraction form
    232,158.13/502,959.50 = 502,959.50/x
  3. Step 3: Cross multiply
    232,158.13x = 502,959.50 × 502,959.50
  4. Step 4: Simplify right side
    232,158.13x = 252,968,258,640.25
  5. Step 5: Solve for x
    x = 252,968,258,640.25/232,158.13
  6. Step 6: Final answer
    x = 1,089,637.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.