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Finding the Third Proportional to 183,206 and 291,434

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Solution

The third proportional to 183,206 and 291,434 is: 463,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,206 : 291,434 = 291,434 : x
  2. Step 2: Convert to fraction form
    183,206/291,434 = 291,434/x
  3. Step 3: Cross multiply
    183,206x = 291,434 × 291,434
  4. Step 4: Simplify right side
    183,206x = 84,933,776,356
  5. Step 5: Solve for x
    x = 84,933,776,356/183,206
  6. Step 6: Final answer
    x = 463,597.13

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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.