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Finding the Third Proportional to 115,182 and 249,228

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Solution

The third proportional to 115,182 and 249,228 is: 539,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,182 : 249,228 = 249,228 : x
  2. Step 2: Convert to fraction form
    115,182/249,228 = 249,228/x
  3. Step 3: Cross multiply
    115,182x = 249,228 × 249,228
  4. Step 4: Simplify right side
    115,182x = 62,114,595,984
  5. Step 5: Solve for x
    x = 62,114,595,984/115,182
  6. Step 6: Final answer
    x = 539,273.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.