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Finding the Third Proportional to 191,025 and 402,957

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Solution

The third proportional to 191,025 and 402,957 is: 850,016.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,025 : 402,957 = 402,957 : x
  2. Step 2: Convert to fraction form
    191,025/402,957 = 402,957/x
  3. Step 3: Cross multiply
    191,025x = 402,957 × 402,957
  4. Step 4: Simplify right side
    191,025x = 162,374,343,849
  5. Step 5: Solve for x
    x = 162,374,343,849/191,025
  6. Step 6: Final answer
    x = 850,016.20

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.