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Finding the Third Proportional to 109,532 and 235,953

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Solution

The third proportional to 109,532 and 235,953 is: 508,288.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,532 : 235,953 = 235,953 : x
  2. Step 2: Convert to fraction form
    109,532/235,953 = 235,953/x
  3. Step 3: Cross multiply
    109,532x = 235,953 × 235,953
  4. Step 4: Simplify right side
    109,532x = 55,673,818,209
  5. Step 5: Solve for x
    x = 55,673,818,209/109,532
  6. Step 6: Final answer
    x = 508,288.16

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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.