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Finding the Third Proportional to 183,202 and 291,427

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Solution

The third proportional to 183,202 and 291,427 is: 463,584.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,202 : 291,427 = 291,427 : x
  2. Step 2: Convert to fraction form
    183,202/291,427 = 291,427/x
  3. Step 3: Cross multiply
    183,202x = 291,427 × 291,427
  4. Step 4: Simplify right side
    183,202x = 84,929,696,329
  5. Step 5: Solve for x
    x = 84,929,696,329/183,202
  6. Step 6: Final answer
    x = 463,584.98

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.