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Finding the Third Proportional to 147,172.50 and 317,871

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Solution

The third proportional to 147,172.50 and 317,871 is: 686,554.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,172.50 : 317,871 = 317,871 : x
  2. Step 2: Convert to fraction form
    147,172.50/317,871 = 317,871/x
  3. Step 3: Cross multiply
    147,172.50x = 317,871 × 317,871
  4. Step 4: Simplify right side
    147,172.50x = 101,041,972,641
  5. Step 5: Solve for x
    x = 101,041,972,641/147,172.50
  6. Step 6: Final answer
    x = 686,554.71

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.