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Finding the Third Proportional to 191,679 and 297,090

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Solution

The third proportional to 191,679 and 297,090 is: 460,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,679 : 297,090 = 297,090 : x
  2. Step 2: Convert to fraction form
    191,679/297,090 = 297,090/x
  3. Step 3: Cross multiply
    191,679x = 297,090 × 297,090
  4. Step 4: Simplify right side
    191,679x = 88,262,468,100
  5. Step 5: Solve for x
    x = 88,262,468,100/191,679
  6. Step 6: Final answer
    x = 460,470.20

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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.