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Finding the Third Proportional to 98,440 and 215,950

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Solution

The third proportional to 98,440 and 215,950 is: 473,734.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,440 : 215,950 = 215,950 : x
  2. Step 2: Convert to fraction form
    98,440/215,950 = 215,950/x
  3. Step 3: Cross multiply
    98,440x = 215,950 × 215,950
  4. Step 4: Simplify right side
    98,440x = 46,634,402,500
  5. Step 5: Solve for x
    x = 46,634,402,500/98,440
  6. Step 6: Final answer
    x = 473,734.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.