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Finding the Third Proportional to 233,949 and 352,585.50

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Solution

The third proportional to 233,949 and 352,585.50 is: 531,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,949 : 352,585.50 = 352,585.50 : x
  2. Step 2: Convert to fraction form
    233,949/352,585.50 = 352,585.50/x
  3. Step 3: Cross multiply
    233,949x = 352,585.50 × 352,585.50
  4. Step 4: Simplify right side
    233,949x = 124,316,534,810.25
  5. Step 5: Solve for x
    x = 124,316,534,810.25/233,949
  6. Step 6: Final answer
    x = 531,383.06

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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.