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Finding the Third Proportional to 116,479 and 249,578

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Solution

The third proportional to 116,479 and 249,578 is: 534,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,479 : 249,578 = 249,578 : x
  2. Step 2: Convert to fraction form
    116,479/249,578 = 249,578/x
  3. Step 3: Cross multiply
    116,479x = 249,578 × 249,578
  4. Step 4: Simplify right side
    116,479x = 62,289,178,084
  5. Step 5: Solve for x
    x = 62,289,178,084/116,479
  6. Step 6: Final answer
    x = 534,767.45

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Why These Related Problems?

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