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Finding the Third Proportional to 173,006 and 372,688

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Solution

The third proportional to 173,006 and 372,688 is: 802,841.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,006 : 372,688 = 372,688 : x
  2. Step 2: Convert to fraction form
    173,006/372,688 = 372,688/x
  3. Step 3: Cross multiply
    173,006x = 372,688 × 372,688
  4. Step 4: Simplify right side
    173,006x = 138,896,345,344
  5. Step 5: Solve for x
    x = 138,896,345,344/173,006
  6. Step 6: Final answer
    x = 802,841.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.