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Finding the Third Proportional to 191,723.63 and 291,569.34

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Solution

The third proportional to 191,723.63 and 291,569.34 is: 443,412.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,723.63 : 291,569.34 = 291,569.34 : x
  2. Step 2: Convert to fraction form
    191,723.63/291,569.34 = 291,569.34/x
  3. Step 3: Cross multiply
    191,723.63x = 291,569.34 × 291,569.34
  4. Step 4: Simplify right side
    191,723.63x = 85,012,682,214.81
  5. Step 5: Solve for x
    x = 85,012,682,214.81/191,723.63
  6. Step 6: Final answer
    x = 443,412.66

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.