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Finding the Third Proportional to 174,387 and 369,528

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Solution

The third proportional to 174,387 and 369,528 is: 783,033.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,387 : 369,528 = 369,528 : x
  2. Step 2: Convert to fraction form
    174,387/369,528 = 369,528/x
  3. Step 3: Cross multiply
    174,387x = 369,528 × 369,528
  4. Step 4: Simplify right side
    174,387x = 136,550,942,784
  5. Step 5: Solve for x
    x = 136,550,942,784/174,387
  6. Step 6: Final answer
    x = 783,033.96

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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.