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Finding the Third Proportional to 249,560 and 541,156

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Solution

The third proportional to 249,560 and 541,156 is: 1,173,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,560 : 541,156 = 541,156 : x
  2. Step 2: Convert to fraction form
    249,560/541,156 = 541,156/x
  3. Step 3: Cross multiply
    249,560x = 541,156 × 541,156
  4. Step 4: Simplify right side
    249,560x = 292,849,816,336
  5. Step 5: Solve for x
    x = 292,849,816,336/249,560
  6. Step 6: Final answer
    x = 1,173,464.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.