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Finding the Third Proportional to 137,740 and 210,688

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Solution

The third proportional to 137,740 and 210,688 is: 322,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740 : 210,688 = 210,688 : x
  2. Step 2: Convert to fraction form
    137,740/210,688 = 210,688/x
  3. Step 3: Cross multiply
    137,740x = 210,688 × 210,688
  4. Step 4: Simplify right side
    137,740x = 44,389,433,344
  5. Step 5: Solve for x
    x = 44,389,433,344/137,740
  6. Step 6: Final answer
    x = 322,269.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.