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Finding the Third Proportional to 173,657 and 352,141

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Solution

The third proportional to 173,657 and 352,141 is: 714,070.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,657 : 352,141 = 352,141 : x
  2. Step 2: Convert to fraction form
    173,657/352,141 = 352,141/x
  3. Step 3: Cross multiply
    173,657x = 352,141 × 352,141
  4. Step 4: Simplify right side
    173,657x = 124,003,283,881
  5. Step 5: Solve for x
    x = 124,003,283,881/173,657
  6. Step 6: Final answer
    x = 714,070.17

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.