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Finding the Third Proportional to 181,218.75 and 392,304

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Solution

The third proportional to 181,218.75 and 392,304 is: 849,263.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,218.75 : 392,304 = 392,304 : x
  2. Step 2: Convert to fraction form
    181,218.75/392,304 = 392,304/x
  3. Step 3: Cross multiply
    181,218.75x = 392,304 × 392,304
  4. Step 4: Simplify right side
    181,218.75x = 153,902,428,416
  5. Step 5: Solve for x
    x = 153,902,428,416/181,218.75
  6. Step 6: Final answer
    x = 849,263.27

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