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Finding the Third Proportional to 158,476 and 232,998

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Solution

The third proportional to 158,476 and 232,998 is: 342,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,476 : 232,998 = 232,998 : x
  2. Step 2: Convert to fraction form
    158,476/232,998 = 232,998/x
  3. Step 3: Cross multiply
    158,476x = 232,998 × 232,998
  4. Step 4: Simplify right side
    158,476x = 54,288,068,004
  5. Step 5: Solve for x
    x = 54,288,068,004/158,476
  6. Step 6: Final answer
    x = 342,563.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.