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Finding the Third Proportional to 183,464 and 291,872.50

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Solution

The third proportional to 183,464 and 291,872.50 is: 464,339.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,464 : 291,872.50 = 291,872.50 : x
  2. Step 2: Convert to fraction form
    183,464/291,872.50 = 291,872.50/x
  3. Step 3: Cross multiply
    183,464x = 291,872.50 × 291,872.50
  4. Step 4: Simplify right side
    183,464x = 85,189,556,256.25
  5. Step 5: Solve for x
    x = 85,189,556,256.25/183,464
  6. Step 6: Final answer
    x = 464,339.36

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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.