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Finding the Third Proportional to 230,384.25 and 348,796.13

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Solution

The third proportional to 230,384.25 and 348,796.13 is: 528,068.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,384.25 : 348,796.13 = 348,796.13 : x
  2. Step 2: Convert to fraction form
    230,384.25/348,796.13 = 348,796.13/x
  3. Step 3: Cross multiply
    230,384.25x = 348,796.13 × 348,796.13
  4. Step 4: Simplify right side
    230,384.25x = 121,658,736,815.02
  5. Step 5: Solve for x
    x = 121,658,736,815.02/230,384.25
  6. Step 6: Final answer
    x = 528,068.81

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Why These Related Problems?

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