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Finding the Third Proportional to 230,377 and 348,786

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Solution

The third proportional to 230,377 and 348,786 is: 528,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,377 : 348,786 = 348,786 : x
  2. Step 2: Convert to fraction form
    230,377/348,786 = 348,786/x
  3. Step 3: Cross multiply
    230,377x = 348,786 × 348,786
  4. Step 4: Simplify right side
    230,377x = 121,651,673,796
  5. Step 5: Solve for x
    x = 121,651,673,796/230,377
  6. Step 6: Final answer
    x = 528,054.77

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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.