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Finding the Third Proportional to 133,158 and 286,612.50

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Solution

The third proportional to 133,158 and 286,612.50 is: 616,911.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,158 : 286,612.50 = 286,612.50 : x
  2. Step 2: Convert to fraction form
    133,158/286,612.50 = 286,612.50/x
  3. Step 3: Cross multiply
    133,158x = 286,612.50 × 286,612.50
  4. Step 4: Simplify right side
    133,158x = 82,146,725,156.25
  5. Step 5: Solve for x
    x = 82,146,725,156.25/133,158
  6. Step 6: Final answer
    x = 616,911.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.