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Finding the Third Proportional to 150,948 and 316,584

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Solution

The third proportional to 150,948 and 316,584 is: 663,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,948 : 316,584 = 316,584 : x
  2. Step 2: Convert to fraction form
    150,948/316,584 = 316,584/x
  3. Step 3: Cross multiply
    150,948x = 316,584 × 316,584
  4. Step 4: Simplify right side
    150,948x = 100,225,429,056
  5. Step 5: Solve for x
    x = 100,225,429,056/150,948
  6. Step 6: Final answer
    x = 663,973.22

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.