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Finding the Third Proportional to 291,417.75 and 346,092.75

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Solution

The third proportional to 291,417.75 and 346,092.75 is: 411,025.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,417.75 : 346,092.75 = 346,092.75 : x
  2. Step 2: Convert to fraction form
    291,417.75/346,092.75 = 346,092.75/x
  3. Step 3: Cross multiply
    291,417.75x = 346,092.75 × 346,092.75
  4. Step 4: Simplify right side
    291,417.75x = 119,780,191,602.56
  5. Step 5: Solve for x
    x = 119,780,191,602.56/291,417.75
  6. Step 6: Final answer
    x = 411,025.72

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.