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Finding the Third Proportional to 112,961.25 and 243,411.75

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Solution

The third proportional to 112,961.25 and 243,411.75 is: 524,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,961.25 : 243,411.75 = 243,411.75 : x
  2. Step 2: Convert to fraction form
    112,961.25/243,411.75 = 243,411.75/x
  3. Step 3: Cross multiply
    112,961.25x = 243,411.75 × 243,411.75
  4. Step 4: Simplify right side
    112,961.25x = 59,249,280,038.06
  5. Step 5: Solve for x
    x = 59,249,280,038.06/112,961.25
  6. Step 6: Final answer
    x = 524,509.78

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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.