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Finding the Third Proportional to 256,587.75 and 369,608.06

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Solution

The third proportional to 256,587.75 and 369,608.06 is: 532,410.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,587.75 : 369,608.06 = 369,608.06 : x
  2. Step 2: Convert to fraction form
    256,587.75/369,608.06 = 369,608.06/x
  3. Step 3: Cross multiply
    256,587.75x = 369,608.06 × 369,608.06
  4. Step 4: Simplify right side
    256,587.75x = 136,610,119,865.00
  5. Step 5: Solve for x
    x = 136,610,119,865.00/256,587.75
  6. Step 6: Final answer
    x = 532,410.92

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.