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Finding the Third Proportional to 112,272 and 249,468

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Solution

The third proportional to 112,272 and 249,468 is: 554,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,272 : 249,468 = 249,468 : x
  2. Step 2: Convert to fraction form
    112,272/249,468 = 249,468/x
  3. Step 3: Cross multiply
    112,272x = 249,468 × 249,468
  4. Step 4: Simplify right side
    112,272x = 62,234,283,024
  5. Step 5: Solve for x
    x = 62,234,283,024/112,272
  6. Step 6: Final answer
    x = 554,317.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.