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Finding the Third Proportional to 147,852 and 316,440

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Solution

The third proportional to 147,852 and 316,440 is: 677,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,852 : 316,440 = 316,440 : x
  2. Step 2: Convert to fraction form
    147,852/316,440 = 316,440/x
  3. Step 3: Cross multiply
    147,852x = 316,440 × 316,440
  4. Step 4: Simplify right side
    147,852x = 100,134,273,600
  5. Step 5: Solve for x
    x = 100,134,273,600/147,852
  6. Step 6: Final answer
    x = 677,260.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.