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Finding the Third Proportional to 242,529.19 and 349,601.06

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Solution

The third proportional to 242,529.19 and 349,601.06 is: 503,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,529.19 : 349,601.06 = 349,601.06 : x
  2. Step 2: Convert to fraction form
    242,529.19/349,601.06 = 349,601.06/x
  3. Step 3: Cross multiply
    242,529.19x = 349,601.06 × 349,601.06
  4. Step 4: Simplify right side
    242,529.19x = 122,220,902,901.13
  5. Step 5: Solve for x
    x = 122,220,902,901.13/242,529.19
  6. Step 6: Final answer
    x = 503,943.07

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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.