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Finding the Third Proportional to 210,846 and 335,038.50

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Solution

The third proportional to 210,846 and 335,038.50 is: 532,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,846 : 335,038.50 = 335,038.50 : x
  2. Step 2: Convert to fraction form
    210,846/335,038.50 = 335,038.50/x
  3. Step 3: Cross multiply
    210,846x = 335,038.50 × 335,038.50
  4. Step 4: Simplify right side
    210,846x = 112,250,796,482.25
  5. Step 5: Solve for x
    x = 112,250,796,482.25/210,846
  6. Step 6: Final answer
    x = 532,382.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.