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Finding the Third Proportional to 147,235 and 318,014

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Solution

The third proportional to 147,235 and 318,014 is: 686,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,235 : 318,014 = 318,014 : x
  2. Step 2: Convert to fraction form
    147,235/318,014 = 318,014/x
  3. Step 3: Cross multiply
    147,235x = 318,014 × 318,014
  4. Step 4: Simplify right side
    147,235x = 101,132,904,196
  5. Step 5: Solve for x
    x = 101,132,904,196/147,235
  6. Step 6: Final answer
    x = 686,880.87

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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.