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Finding the Third Proportional to 249,552 and 541,146

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Solution

The third proportional to 249,552 and 541,146 is: 1,173,458.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,552 : 541,146 = 541,146 : x
  2. Step 2: Convert to fraction form
    249,552/541,146 = 541,146/x
  3. Step 3: Cross multiply
    249,552x = 541,146 × 541,146
  4. Step 4: Simplify right side
    249,552x = 292,838,993,316
  5. Step 5: Solve for x
    x = 292,838,993,316/249,552
  6. Step 6: Final answer
    x = 1,173,458.81

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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.