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Finding the Third Proportional to 137,322 and 207,920.25

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Solution

The third proportional to 137,322 and 207,920.25 is: 314,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,322 : 207,920.25 = 207,920.25 : x
  2. Step 2: Convert to fraction form
    137,322/207,920.25 = 207,920.25/x
  3. Step 3: Cross multiply
    137,322x = 207,920.25 × 207,920.25
  4. Step 4: Simplify right side
    137,322x = 43,230,830,360.06
  5. Step 5: Solve for x
    x = 43,230,830,360.06/137,322
  6. Step 6: Final answer
    x = 314,813.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.