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Finding the Third Proportional to 130,018.50 and 206,871

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Solution

The third proportional to 130,018.50 and 206,871 is: 329,150.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,018.50 : 206,871 = 206,871 : x
  2. Step 2: Convert to fraction form
    130,018.50/206,871 = 206,871/x
  3. Step 3: Cross multiply
    130,018.50x = 206,871 × 206,871
  4. Step 4: Simplify right side
    130,018.50x = 42,795,610,641
  5. Step 5: Solve for x
    x = 42,795,610,641/130,018.50
  6. Step 6: Final answer
    x = 329,150.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.