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Finding the Third Proportional to 183,334 and 291,724

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Solution

The third proportional to 183,334 and 291,724 is: 464,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,334 : 291,724 = 291,724 : x
  2. Step 2: Convert to fraction form
    183,334/291,724 = 291,724/x
  3. Step 3: Cross multiply
    183,334x = 291,724 × 291,724
  4. Step 4: Simplify right side
    183,334x = 85,102,892,176
  5. Step 5: Solve for x
    x = 85,102,892,176/183,334
  6. Step 6: Final answer
    x = 464,195.91

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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.