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Finding the Third Proportional to 155,154 and 229,813

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Solution

The third proportional to 155,154 and 229,813 is: 340,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,154 : 229,813 = 229,813 : x
  2. Step 2: Convert to fraction form
    155,154/229,813 = 229,813/x
  3. Step 3: Cross multiply
    155,154x = 229,813 × 229,813
  4. Step 4: Simplify right side
    155,154x = 52,814,014,969
  5. Step 5: Solve for x
    x = 52,814,014,969/155,154
  6. Step 6: Final answer
    x = 340,397.38

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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.