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Finding the Third Proportional to 229,092 and 336,772.50

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Solution

The third proportional to 229,092 and 336,772.50 is: 495,066.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,092 : 336,772.50 = 336,772.50 : x
  2. Step 2: Convert to fraction form
    229,092/336,772.50 = 336,772.50/x
  3. Step 3: Cross multiply
    229,092x = 336,772.50 × 336,772.50
  4. Step 4: Simplify right side
    229,092x = 113,415,716,756.25
  5. Step 5: Solve for x
    x = 113,415,716,756.25/229,092
  6. Step 6: Final answer
    x = 495,066.25

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.