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Finding the Third Proportional to 113,524 and 243,348

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Solution

The third proportional to 113,524 and 243,348 is: 521,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,524 : 243,348 = 243,348 : x
  2. Step 2: Convert to fraction form
    113,524/243,348 = 243,348/x
  3. Step 3: Cross multiply
    113,524x = 243,348 × 243,348
  4. Step 4: Simplify right side
    113,524x = 59,218,249,104
  5. Step 5: Solve for x
    x = 59,218,249,104/113,524
  6. Step 6: Final answer
    x = 521,636.39

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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.