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Finding the Third Proportional to 155,152.13 and 229,810.50

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Solution

The third proportional to 155,152.13 and 229,810.50 is: 340,394.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,152.13 : 229,810.50 = 229,810.50 : x
  2. Step 2: Convert to fraction form
    155,152.13/229,810.50 = 229,810.50/x
  3. Step 3: Cross multiply
    155,152.13x = 229,810.50 × 229,810.50
  4. Step 4: Simplify right side
    155,152.13x = 52,812,865,910.25
  5. Step 5: Solve for x
    x = 52,812,865,910.25/155,152.13
  6. Step 6: Final answer
    x = 340,394.09

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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.