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Finding the Third Proportional to 153,850 and 232,827

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Solution

The third proportional to 153,850 and 232,827 is: 352,345.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,850 : 232,827 = 232,827 : x
  2. Step 2: Convert to fraction form
    153,850/232,827 = 232,827/x
  3. Step 3: Cross multiply
    153,850x = 232,827 × 232,827
  4. Step 4: Simplify right side
    153,850x = 54,208,411,929
  5. Step 5: Solve for x
    x = 54,208,411,929/153,850
  6. Step 6: Final answer
    x = 352,345.87

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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.