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Finding the Third Proportional to 148,528 and 223,506

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Solution

The third proportional to 148,528 and 223,506 is: 336,333.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,528 : 223,506 = 223,506 : x
  2. Step 2: Convert to fraction form
    148,528/223,506 = 223,506/x
  3. Step 3: Cross multiply
    148,528x = 223,506 × 223,506
  4. Step 4: Simplify right side
    148,528x = 49,954,932,036
  5. Step 5: Solve for x
    x = 49,954,932,036/148,528
  6. Step 6: Final answer
    x = 336,333.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.