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Finding the Third Proportional to 147,096 and 233,050.50

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Solution

The third proportional to 147,096 and 233,050.50 is: 369,231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,096 : 233,050.50 = 233,050.50 : x
  2. Step 2: Convert to fraction form
    147,096/233,050.50 = 233,050.50/x
  3. Step 3: Cross multiply
    147,096x = 233,050.50 × 233,050.50
  4. Step 4: Simplify right side
    147,096x = 54,312,535,550.25
  5. Step 5: Solve for x
    x = 54,312,535,550.25/147,096
  6. Step 6: Final answer
    x = 369,231.90

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.