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Finding the Third Proportional to 116,952 and 257,232

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Solution

The third proportional to 116,952 and 257,232 is: 565,773.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,952 : 257,232 = 257,232 : x
  2. Step 2: Convert to fraction form
    116,952/257,232 = 257,232/x
  3. Step 3: Cross multiply
    116,952x = 257,232 × 257,232
  4. Step 4: Simplify right side
    116,952x = 66,168,301,824
  5. Step 5: Solve for x
    x = 66,168,301,824/116,952
  6. Step 6: Final answer
    x = 565,773.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.