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Finding the Third Proportional to 183,842 and 294,959

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Solution

The third proportional to 183,842 and 294,959 is: 473,236.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,842 : 294,959 = 294,959 : x
  2. Step 2: Convert to fraction form
    183,842/294,959 = 294,959/x
  3. Step 3: Cross multiply
    183,842x = 294,959 × 294,959
  4. Step 4: Simplify right side
    183,842x = 87,000,811,681
  5. Step 5: Solve for x
    x = 87,000,811,681/183,842
  6. Step 6: Final answer
    x = 473,236.86

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.