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Finding the Third Proportional to 239,277 and 348,529.50

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Solution

The third proportional to 239,277 and 348,529.50 is: 507,666.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,277 : 348,529.50 = 348,529.50 : x
  2. Step 2: Convert to fraction form
    239,277/348,529.50 = 348,529.50/x
  3. Step 3: Cross multiply
    239,277x = 348,529.50 × 348,529.50
  4. Step 4: Simplify right side
    239,277x = 121,472,812,370.25
  5. Step 5: Solve for x
    x = 121,472,812,370.25/239,277
  6. Step 6: Final answer
    x = 507,666.06

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.