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Finding the Third Proportional to 230,345.50 and 348,740

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Solution

The third proportional to 230,345.50 and 348,740 is: 527,987.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,345.50 : 348,740 = 348,740 : x
  2. Step 2: Convert to fraction form
    230,345.50/348,740 = 348,740/x
  3. Step 3: Cross multiply
    230,345.50x = 348,740 × 348,740
  4. Step 4: Simplify right side
    230,345.50x = 121,619,587,600
  5. Step 5: Solve for x
    x = 121,619,587,600/230,345.50
  6. Step 6: Final answer
    x = 527,987.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.