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Finding the Third Proportional to 130,888.50 and 284,952

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Solution

The third proportional to 130,888.50 and 284,952 is: 620,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,888.50 : 284,952 = 284,952 : x
  2. Step 2: Convert to fraction form
    130,888.50/284,952 = 284,952/x
  3. Step 3: Cross multiply
    130,888.50x = 284,952 × 284,952
  4. Step 4: Simplify right side
    130,888.50x = 81,197,642,304
  5. Step 5: Solve for x
    x = 81,197,642,304/130,888.50
  6. Step 6: Final answer
    x = 620,357.34

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.