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Finding the Third Proportional to 151,625 and 237,389.50

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Solution

The third proportional to 151,625 and 237,389.50 is: 371,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,625 : 237,389.50 = 237,389.50 : x
  2. Step 2: Convert to fraction form
    151,625/237,389.50 = 237,389.50/x
  3. Step 3: Cross multiply
    151,625x = 237,389.50 × 237,389.50
  4. Step 4: Simplify right side
    151,625x = 56,353,774,710.25
  5. Step 5: Solve for x
    x = 56,353,774,710.25/151,625
  6. Step 6: Final answer
    x = 371,665.46

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.