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Finding the Third Proportional to 140,800.50 and 291,580.50

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Solution

The third proportional to 140,800.50 and 291,580.50 is: 603,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,800.50 : 291,580.50 = 291,580.50 : x
  2. Step 2: Convert to fraction form
    140,800.50/291,580.50 = 291,580.50/x
  3. Step 3: Cross multiply
    140,800.50x = 291,580.50 × 291,580.50
  4. Step 4: Simplify right side
    140,800.50x = 85,019,187,980.25
  5. Step 5: Solve for x
    x = 85,019,187,980.25/140,800.50
  6. Step 6: Final answer
    x = 603,827.32

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