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Finding the Third Proportional to 149,302.50 and 316,101

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Solution

The third proportional to 149,302.50 and 316,101 is: 669,244.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302.50 : 316,101 = 316,101 : x
  2. Step 2: Convert to fraction form
    149,302.50/316,101 = 316,101/x
  3. Step 3: Cross multiply
    149,302.50x = 316,101 × 316,101
  4. Step 4: Simplify right side
    149,302.50x = 99,919,842,201
  5. Step 5: Solve for x
    x = 99,919,842,201/149,302.50
  6. Step 6: Final answer
    x = 669,244.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.