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Finding the Third Proportional to 191,342 and 417,130

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Solution

The third proportional to 191,342 and 417,130 is: 909,353.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,342 : 417,130 = 417,130 : x
  2. Step 2: Convert to fraction form
    191,342/417,130 = 417,130/x
  3. Step 3: Cross multiply
    191,342x = 417,130 × 417,130
  4. Step 4: Simplify right side
    191,342x = 173,997,436,900
  5. Step 5: Solve for x
    x = 173,997,436,900/191,342
  6. Step 6: Final answer
    x = 909,353.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.