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Finding the Third Proportional to 183,762 and 293,139

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Solution

The third proportional to 183,762 and 293,139 is: 467,618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,762 : 293,139 = 293,139 : x
  2. Step 2: Convert to fraction form
    183,762/293,139 = 293,139/x
  3. Step 3: Cross multiply
    183,762x = 293,139 × 293,139
  4. Step 4: Simplify right side
    183,762x = 85,930,473,321
  5. Step 5: Solve for x
    x = 85,930,473,321/183,762
  6. Step 6: Final answer
    x = 467,618.30

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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.