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Finding the Third Proportional to 157,986 and 242,258.50

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Solution

The third proportional to 157,986 and 242,258.50 is: 371,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,986 : 242,258.50 = 242,258.50 : x
  2. Step 2: Convert to fraction form
    157,986/242,258.50 = 242,258.50/x
  3. Step 3: Cross multiply
    157,986x = 242,258.50 × 242,258.50
  4. Step 4: Simplify right side
    157,986x = 58,689,180,822.25
  5. Step 5: Solve for x
    x = 58,689,180,822.25/157,986
  6. Step 6: Final answer
    x = 371,483.43

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