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Finding the Third Proportional to 116,544 and 249,705

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Solution

The third proportional to 116,544 and 249,705 is: 535,013.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,544 : 249,705 = 249,705 : x
  2. Step 2: Convert to fraction form
    116,544/249,705 = 249,705/x
  3. Step 3: Cross multiply
    116,544x = 249,705 × 249,705
  4. Step 4: Simplify right side
    116,544x = 62,352,587,025
  5. Step 5: Solve for x
    x = 62,352,587,025/116,544
  6. Step 6: Final answer
    x = 535,013.27

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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.