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Finding the Third Proportional to 191,184 and 297,000

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Solution

The third proportional to 191,184 and 297,000 is: 461,382.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,184 : 297,000 = 297,000 : x
  2. Step 2: Convert to fraction form
    191,184/297,000 = 297,000/x
  3. Step 3: Cross multiply
    191,184x = 297,000 × 297,000
  4. Step 4: Simplify right side
    191,184x = 88,209,000,000
  5. Step 5: Solve for x
    x = 88,209,000,000/191,184
  6. Step 6: Final answer
    x = 461,382.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.