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Finding the Third Proportional to 183,460.50 and 291,867

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Solution

The third proportional to 183,460.50 and 291,867 is: 464,330.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,460.50 : 291,867 = 291,867 : x
  2. Step 2: Convert to fraction form
    183,460.50/291,867 = 291,867/x
  3. Step 3: Cross multiply
    183,460.50x = 291,867 × 291,867
  4. Step 4: Simplify right side
    183,460.50x = 85,186,345,689
  5. Step 5: Solve for x
    x = 85,186,345,689/183,460.50
  6. Step 6: Final answer
    x = 464,330.72

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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.