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Finding the Third Proportional to 173,628 and 368,572

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Solution

The third proportional to 173,628 and 368,572 is: 782,392.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,628 : 368,572 = 368,572 : x
  2. Step 2: Convert to fraction form
    173,628/368,572 = 368,572/x
  3. Step 3: Cross multiply
    173,628x = 368,572 × 368,572
  4. Step 4: Simplify right side
    173,628x = 135,845,319,184
  5. Step 5: Solve for x
    x = 135,845,319,184/173,628
  6. Step 6: Final answer
    x = 782,392.93

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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.