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Finding the Third Proportional to 249,670.69 and 353,278.13

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Solution

The third proportional to 249,670.69 and 353,278.13 is: 499,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,670.69 : 353,278.13 = 353,278.13 : x
  2. Step 2: Convert to fraction form
    249,670.69/353,278.13 = 353,278.13/x
  3. Step 3: Cross multiply
    249,670.69x = 353,278.13 × 353,278.13
  4. Step 4: Simplify right side
    249,670.69x = 124,805,433,603.52
  5. Step 5: Solve for x
    x = 124,805,433,603.52/249,670.69
  6. Step 6: Final answer
    x = 499,880.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.