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Finding the Third Proportional to 113,950.50 and 249,769.50

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Solution

The third proportional to 113,950.50 and 249,769.50 is: 547,472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,950.50 : 249,769.50 = 249,769.50 : x
  2. Step 2: Convert to fraction form
    113,950.50/249,769.50 = 249,769.50/x
  3. Step 3: Cross multiply
    113,950.50x = 249,769.50 × 249,769.50
  4. Step 4: Simplify right side
    113,950.50x = 62,384,803,130.25
  5. Step 5: Solve for x
    x = 62,384,803,130.25/113,950.50
  6. Step 6: Final answer
    x = 547,472.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.