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Finding the Third Proportional to 103,484 and 226,840

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Solution

The third proportional to 103,484 and 226,840 is: 497,240.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,484 : 226,840 = 226,840 : x
  2. Step 2: Convert to fraction form
    103,484/226,840 = 226,840/x
  3. Step 3: Cross multiply
    103,484x = 226,840 × 226,840
  4. Step 4: Simplify right side
    103,484x = 51,456,385,600
  5. Step 5: Solve for x
    x = 51,456,385,600/103,484
  6. Step 6: Final answer
    x = 497,240.01

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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.