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Finding the Third Proportional to 148,705.50 and 211,986

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Solution

The third proportional to 148,705.50 and 211,986 is: 302,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,705.50 : 211,986 = 211,986 : x
  2. Step 2: Convert to fraction form
    148,705.50/211,986 = 211,986/x
  3. Step 3: Cross multiply
    148,705.50x = 211,986 × 211,986
  4. Step 4: Simplify right side
    148,705.50x = 44,938,064,196
  5. Step 5: Solve for x
    x = 44,938,064,196/148,705.50
  6. Step 6: Final answer
    x = 302,195.04

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.