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Finding the Third Proportional to 102,265 and 219,709.50

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Solution

The third proportional to 102,265 and 219,709.50 is: 472,031.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,265 : 219,709.50 = 219,709.50 : x
  2. Step 2: Convert to fraction form
    102,265/219,709.50 = 219,709.50/x
  3. Step 3: Cross multiply
    102,265x = 219,709.50 × 219,709.50
  4. Step 4: Simplify right side
    102,265x = 48,272,264,390.25
  5. Step 5: Solve for x
    x = 48,272,264,390.25/102,265
  6. Step 6: Final answer
    x = 472,031.14

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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.