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Finding the Third Proportional to 158,413 and 230,485.50

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Solution

The third proportional to 158,413 and 230,485.50 is: 335,348.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,413 : 230,485.50 = 230,485.50 : x
  2. Step 2: Convert to fraction form
    158,413/230,485.50 = 230,485.50/x
  3. Step 3: Cross multiply
    158,413x = 230,485.50 × 230,485.50
  4. Step 4: Simplify right side
    158,413x = 53,123,565,710.25
  5. Step 5: Solve for x
    x = 53,123,565,710.25/158,413
  6. Step 6: Final answer
    x = 335,348.52

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.