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Finding the Third Proportional to 116,515 and 249,630

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Solution

The third proportional to 116,515 and 249,630 is: 534,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,515 : 249,630 = 249,630 : x
  2. Step 2: Convert to fraction form
    116,515/249,630 = 249,630/x
  3. Step 3: Cross multiply
    116,515x = 249,630 × 249,630
  4. Step 4: Simplify right side
    116,515x = 62,315,136,900
  5. Step 5: Solve for x
    x = 62,315,136,900/116,515
  6. Step 6: Final answer
    x = 534,825.02

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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.