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Finding the Third Proportional to 191,752 and 300,817

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Solution

The third proportional to 191,752 and 300,817 is: 471,916.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,752 : 300,817 = 300,817 : x
  2. Step 2: Convert to fraction form
    191,752/300,817 = 300,817/x
  3. Step 3: Cross multiply
    191,752x = 300,817 × 300,817
  4. Step 4: Simplify right side
    191,752x = 90,490,867,489
  5. Step 5: Solve for x
    x = 90,490,867,489/191,752
  6. Step 6: Final answer
    x = 471,916.16

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.