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Finding the Third Proportional to 197,871 and 319,054.50

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Solution

The third proportional to 197,871 and 319,054.50 is: 514,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,871 : 319,054.50 = 319,054.50 : x
  2. Step 2: Convert to fraction form
    197,871/319,054.50 = 319,054.50/x
  3. Step 3: Cross multiply
    197,871x = 319,054.50 × 319,054.50
  4. Step 4: Simplify right side
    197,871x = 101,795,773,970.25
  5. Step 5: Solve for x
    x = 101,795,773,970.25/197,871
  6. Step 6: Final answer
    x = 514,455.25

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.