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Finding the Third Proportional to 210,037.50 and 319,437

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Solution

The third proportional to 210,037.50 and 319,437 is: 485,817.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,037.50 : 319,437 = 319,437 : x
  2. Step 2: Convert to fraction form
    210,037.50/319,437 = 319,437/x
  3. Step 3: Cross multiply
    210,037.50x = 319,437 × 319,437
  4. Step 4: Simplify right side
    210,037.50x = 102,039,996,969
  5. Step 5: Solve for x
    x = 102,039,996,969/210,037.50
  6. Step 6: Final answer
    x = 485,817.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.