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Finding the Third Proportional to 140,795.91 and 291,572.81

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Solution

The third proportional to 140,795.91 and 291,572.81 is: 603,815.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,795.91 : 291,572.81 = 291,572.81 : x
  2. Step 2: Convert to fraction form
    140,795.91/291,572.81 = 291,572.81/x
  3. Step 3: Cross multiply
    140,795.91x = 291,572.81 × 291,572.81
  4. Step 4: Simplify right side
    140,795.91x = 85,014,704,989.16
  5. Step 5: Solve for x
    x = 85,014,704,989.16/140,795.91
  6. Step 6: Final answer
    x = 603,815.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.