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Finding the Third Proportional to 120,030.19 and 277,878.94

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Solution

The third proportional to 120,030.19 and 277,878.94 is: 643,310.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,030.19 : 277,878.94 = 277,878.94 : x
  2. Step 2: Convert to fraction form
    120,030.19/277,878.94 = 277,878.94/x
  3. Step 3: Cross multiply
    120,030.19x = 277,878.94 × 277,878.94
  4. Step 4: Simplify right side
    120,030.19x = 77,216,703,906.13
  5. Step 5: Solve for x
    x = 77,216,703,906.13/120,030.19
  6. Step 6: Final answer
    x = 643,310.70

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.