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Finding the Third Proportional to 109,442 and 235,770

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Solution

The third proportional to 109,442 and 235,770 is: 507,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,442 : 235,770 = 235,770 : x
  2. Step 2: Convert to fraction form
    109,442/235,770 = 235,770/x
  3. Step 3: Cross multiply
    109,442x = 235,770 × 235,770
  4. Step 4: Simplify right side
    109,442x = 55,587,492,900
  5. Step 5: Solve for x
    x = 55,587,492,900/109,442
  6. Step 6: Final answer
    x = 507,917.37

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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.