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Finding the Third Proportional to 191,410 and 293,813

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Solution

The third proportional to 191,410 and 293,813 is: 451,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,410 : 293,813 = 293,813 : x
  2. Step 2: Convert to fraction form
    191,410/293,813 = 293,813/x
  3. Step 3: Cross multiply
    191,410x = 293,813 × 293,813
  4. Step 4: Simplify right side
    191,410x = 86,326,078,969
  5. Step 5: Solve for x
    x = 86,326,078,969/191,410
  6. Step 6: Final answer
    x = 451,000.88

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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.