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Finding the Third Proportional to 146,501 and 315,754

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Solution

The third proportional to 146,501 and 315,754 is: 680,545.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,501 : 315,754 = 315,754 : x
  2. Step 2: Convert to fraction form
    146,501/315,754 = 315,754/x
  3. Step 3: Cross multiply
    146,501x = 315,754 × 315,754
  4. Step 4: Simplify right side
    146,501x = 99,700,588,516
  5. Step 5: Solve for x
    x = 99,700,588,516/146,501
  6. Step 6: Final answer
    x = 680,545.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.