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Finding the Third Proportional to 109,484 and 235,854

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Solution

The third proportional to 109,484 and 235,854 is: 508,084.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,484 : 235,854 = 235,854 : x
  2. Step 2: Convert to fraction form
    109,484/235,854 = 235,854/x
  3. Step 3: Cross multiply
    109,484x = 235,854 × 235,854
  4. Step 4: Simplify right side
    109,484x = 55,627,109,316
  5. Step 5: Solve for x
    x = 55,627,109,316/109,484
  6. Step 6: Final answer
    x = 508,084.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.