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Finding the Third Proportional to 140,795.53 and 291,572.06

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Solution

The third proportional to 140,795.53 and 291,572.06 is: 603,813.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,795.53 : 291,572.06 = 291,572.06 : x
  2. Step 2: Convert to fraction form
    140,795.53/291,572.06 = 291,572.06/x
  3. Step 3: Cross multiply
    140,795.53x = 291,572.06 × 291,572.06
  4. Step 4: Simplify right side
    140,795.53x = 85,014,267,630.50
  5. Step 5: Solve for x
    x = 85,014,267,630.50/140,795.53
  6. Step 6: Final answer
    x = 603,813.68

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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.