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Finding the Third Proportional to 102,368 and 215,940

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Solution

The third proportional to 102,368 and 215,940 is: 455,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,368 : 215,940 = 215,940 : x
  2. Step 2: Convert to fraction form
    102,368/215,940 = 215,940/x
  3. Step 3: Cross multiply
    102,368x = 215,940 × 215,940
  4. Step 4: Simplify right side
    102,368x = 46,630,083,600
  5. Step 5: Solve for x
    x = 46,630,083,600/102,368
  6. Step 6: Final answer
    x = 455,514.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.