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Finding the Third Proportional to 146,050 and 319,133

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Solution

The third proportional to 146,050 and 319,133 is: 697,335.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,050 : 319,133 = 319,133 : x
  2. Step 2: Convert to fraction form
    146,050/319,133 = 319,133/x
  3. Step 3: Cross multiply
    146,050x = 319,133 × 319,133
  4. Step 4: Simplify right side
    146,050x = 101,845,871,689
  5. Step 5: Solve for x
    x = 101,845,871,689/146,050
  6. Step 6: Final answer
    x = 697,335.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.