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Finding the Third Proportional to 114,754.50 and 249,924

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Solution

The third proportional to 114,754.50 and 249,924 is: 544,309.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,754.50 : 249,924 = 249,924 : x
  2. Step 2: Convert to fraction form
    114,754.50/249,924 = 249,924/x
  3. Step 3: Cross multiply
    114,754.50x = 249,924 × 249,924
  4. Step 4: Simplify right side
    114,754.50x = 62,462,005,776
  5. Step 5: Solve for x
    x = 62,462,005,776/114,754.50
  6. Step 6: Final answer
    x = 544,309.86

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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.