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Finding the Third Proportional to 116,483 and 249,577

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Solution

The third proportional to 116,483 and 249,577 is: 534,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,483 : 249,577 = 249,577 : x
  2. Step 2: Convert to fraction form
    116,483/249,577 = 249,577/x
  3. Step 3: Cross multiply
    116,483x = 249,577 × 249,577
  4. Step 4: Simplify right side
    116,483x = 62,288,678,929
  5. Step 5: Solve for x
    x = 62,288,678,929/116,483
  6. Step 6: Final answer
    x = 534,744.80

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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.