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Finding the Third Proportional to 191,408 and 293,808

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Solution

The third proportional to 191,408 and 293,808 is: 450,990.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,408 : 293,808 = 293,808 : x
  2. Step 2: Convert to fraction form
    191,408/293,808 = 293,808/x
  3. Step 3: Cross multiply
    191,408x = 293,808 × 293,808
  4. Step 4: Simplify right side
    191,408x = 86,323,140,864
  5. Step 5: Solve for x
    x = 86,323,140,864/191,408
  6. Step 6: Final answer
    x = 450,990.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.