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Finding the Third Proportional to 107,782 and 232,772

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Solution

The third proportional to 107,782 and 232,772 is: 502,707.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,782 : 232,772 = 232,772 : x
  2. Step 2: Convert to fraction form
    107,782/232,772 = 232,772/x
  3. Step 3: Cross multiply
    107,782x = 232,772 × 232,772
  4. Step 4: Simplify right side
    107,782x = 54,182,803,984
  5. Step 5: Solve for x
    x = 54,182,803,984/107,782
  6. Step 6: Final answer
    x = 502,707.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.