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Finding the Third Proportional to 175,904 and 343,058

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Solution

The third proportional to 175,904 and 343,058 is: 669,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,904 : 343,058 = 343,058 : x
  2. Step 2: Convert to fraction form
    175,904/343,058 = 343,058/x
  3. Step 3: Cross multiply
    175,904x = 343,058 × 343,058
  4. Step 4: Simplify right side
    175,904x = 117,688,791,364
  5. Step 5: Solve for x
    x = 117,688,791,364/175,904
  6. Step 6: Final answer
    x = 669,051.25

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.