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Finding the Third Proportional to 210,135 and 464,430.75

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Solution

The third proportional to 210,135 and 464,430.75 is: 1,026,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,135 : 464,430.75 = 464,430.75 : x
  2. Step 2: Convert to fraction form
    210,135/464,430.75 = 464,430.75/x
  3. Step 3: Cross multiply
    210,135x = 464,430.75 × 464,430.75
  4. Step 4: Simplify right side
    210,135x = 215,695,921,545.56
  5. Step 5: Solve for x
    x = 215,695,921,545.56/210,135
  6. Step 6: Final answer
    x = 1,026,463.57

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.