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Finding the Third Proportional to 114,601.50 and 249,534

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Solution

The third proportional to 114,601.50 and 249,534 is: 543,336.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,601.50 : 249,534 = 249,534 : x
  2. Step 2: Convert to fraction form
    114,601.50/249,534 = 249,534/x
  3. Step 3: Cross multiply
    114,601.50x = 249,534 × 249,534
  4. Step 4: Simplify right side
    114,601.50x = 62,267,217,156
  5. Step 5: Solve for x
    x = 62,267,217,156/114,601.50
  6. Step 6: Final answer
    x = 543,336.84

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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.