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Finding the Third Proportional to 103,338 and 190,478

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Solution

The third proportional to 103,338 and 190,478 is: 351,099.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,338 : 190,478 = 190,478 : x
  2. Step 2: Convert to fraction form
    103,338/190,478 = 190,478/x
  3. Step 3: Cross multiply
    103,338x = 190,478 × 190,478
  4. Step 4: Simplify right side
    103,338x = 36,281,868,484
  5. Step 5: Solve for x
    x = 36,281,868,484/103,338
  6. Step 6: Final answer
    x = 351,099.00

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.