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Finding the Third Proportional to 116,653.50 and 249,830

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Solution

The third proportional to 116,653.50 and 249,830 is: 535,046.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,653.50 : 249,830 = 249,830 : x
  2. Step 2: Convert to fraction form
    116,653.50/249,830 = 249,830/x
  3. Step 3: Cross multiply
    116,653.50x = 249,830 × 249,830
  4. Step 4: Simplify right side
    116,653.50x = 62,415,028,900
  5. Step 5: Solve for x
    x = 62,415,028,900/116,653.50
  6. Step 6: Final answer
    x = 535,046.35

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.