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Finding the Third Proportional to 155,148 and 229,816.50

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Solution

The third proportional to 155,148 and 229,816.50 is: 340,420.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,148 : 229,816.50 = 229,816.50 : x
  2. Step 2: Convert to fraction form
    155,148/229,816.50 = 229,816.50/x
  3. Step 3: Cross multiply
    155,148x = 229,816.50 × 229,816.50
  4. Step 4: Simplify right side
    155,148x = 52,815,623,672.25
  5. Step 5: Solve for x
    x = 52,815,623,672.25/155,148
  6. Step 6: Final answer
    x = 340,420.91

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.