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Finding the Third Proportional to 143,655 and 291,412.50

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Solution

The third proportional to 143,655 and 291,412.50 is: 591,147.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,655 : 291,412.50 = 291,412.50 : x
  2. Step 2: Convert to fraction form
    143,655/291,412.50 = 291,412.50/x
  3. Step 3: Cross multiply
    143,655x = 291,412.50 × 291,412.50
  4. Step 4: Simplify right side
    143,655x = 84,921,245,156.25
  5. Step 5: Solve for x
    x = 84,921,245,156.25/143,655
  6. Step 6: Final answer
    x = 591,147.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.