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Finding the Third Proportional to 131,223 and 314,935.50

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Solution

The third proportional to 131,223 and 314,935.50 is: 755,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,223 : 314,935.50 = 314,935.50 : x
  2. Step 2: Convert to fraction form
    131,223/314,935.50 = 314,935.50/x
  3. Step 3: Cross multiply
    131,223x = 314,935.50 × 314,935.50
  4. Step 4: Simplify right side
    131,223x = 99,184,369,160.25
  5. Step 5: Solve for x
    x = 99,184,369,160.25/131,223
  6. Step 6: Final answer
    x = 755,845.92

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.