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Finding the Third Proportional to 147,094 and 317,510

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Solution

The third proportional to 147,094 and 317,510 is: 685,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,094 : 317,510 = 317,510 : x
  2. Step 2: Convert to fraction form
    147,094/317,510 = 317,510/x
  3. Step 3: Cross multiply
    147,094x = 317,510 × 317,510
  4. Step 4: Simplify right side
    147,094x = 100,812,600,100
  5. Step 5: Solve for x
    x = 100,812,600,100/147,094
  6. Step 6: Final answer
    x = 685,361.74

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Why These Related Problems?

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