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Finding the Third Proportional to 215,358 and 320,933

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Solution

The third proportional to 215,358 and 320,933 is: 478,264.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,358 : 320,933 = 320,933 : x
  2. Step 2: Convert to fraction form
    215,358/320,933 = 320,933/x
  3. Step 3: Cross multiply
    215,358x = 320,933 × 320,933
  4. Step 4: Simplify right side
    215,358x = 102,997,990,489
  5. Step 5: Solve for x
    x = 102,997,990,489/215,358
  6. Step 6: Final answer
    x = 478,264.06

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.