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Finding the Third Proportional to 182,029 and 378,585

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Solution

The third proportional to 182,029 and 378,585 is: 787,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,029 : 378,585 = 378,585 : x
  2. Step 2: Convert to fraction form
    182,029/378,585 = 378,585/x
  3. Step 3: Cross multiply
    182,029x = 378,585 × 378,585
  4. Step 4: Simplify right side
    182,029x = 143,326,602,225
  5. Step 5: Solve for x
    x = 143,326,602,225/182,029
  6. Step 6: Final answer
    x = 787,383.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.