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Finding the Third Proportional to 112,509 and 244,746

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Solution

The third proportional to 112,509 and 244,746 is: 532,407.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,509 : 244,746 = 244,746 : x
  2. Step 2: Convert to fraction form
    112,509/244,746 = 244,746/x
  3. Step 3: Cross multiply
    112,509x = 244,746 × 244,746
  4. Step 4: Simplify right side
    112,509x = 59,900,604,516
  5. Step 5: Solve for x
    x = 59,900,604,516/112,509
  6. Step 6: Final answer
    x = 532,407.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.