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Finding the Third Proportional to 149,625 and 236,895.75

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Solution

The third proportional to 149,625 and 236,895.75 is: 375,068.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,625 : 236,895.75 = 236,895.75 : x
  2. Step 2: Convert to fraction form
    149,625/236,895.75 = 236,895.75/x
  3. Step 3: Cross multiply
    149,625x = 236,895.75 × 236,895.75
  4. Step 4: Simplify right side
    149,625x = 56,119,596,368.06
  5. Step 5: Solve for x
    x = 56,119,596,368.06/149,625
  6. Step 6: Final answer
    x = 375,068.31

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.