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Finding the Third Proportional to 113,786.50 and 249,442.50

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Solution

The third proportional to 113,786.50 and 249,442.50 is: 546,827.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,786.50 : 249,442.50 = 249,442.50 : x
  2. Step 2: Convert to fraction form
    113,786.50/249,442.50 = 249,442.50/x
  3. Step 3: Cross multiply
    113,786.50x = 249,442.50 × 249,442.50
  4. Step 4: Simplify right side
    113,786.50x = 62,221,560,806.25
  5. Step 5: Solve for x
    x = 62,221,560,806.25/113,786.50
  6. Step 6: Final answer
    x = 546,827.27

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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.