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Finding the Third Proportional to 149,349 and 312,528

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Solution

The third proportional to 149,349 and 312,528 is: 653,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,349 : 312,528 = 312,528 : x
  2. Step 2: Convert to fraction form
    149,349/312,528 = 312,528/x
  3. Step 3: Cross multiply
    149,349x = 312,528 × 312,528
  4. Step 4: Simplify right side
    149,349x = 97,673,750,784
  5. Step 5: Solve for x
    x = 97,673,750,784/149,349
  6. Step 6: Final answer
    x = 653,996.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.