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Finding the Third Proportional to 228,970 and 336,829.50

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Solution

The third proportional to 228,970 and 336,829.50 is: 495,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,970 : 336,829.50 = 336,829.50 : x
  2. Step 2: Convert to fraction form
    228,970/336,829.50 = 336,829.50/x
  3. Step 3: Cross multiply
    228,970x = 336,829.50 × 336,829.50
  4. Step 4: Simplify right side
    228,970x = 113,454,112,070.25
  5. Step 5: Solve for x
    x = 113,454,112,070.25/228,970
  6. Step 6: Final answer
    x = 495,497.72

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Why These Related Problems?

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