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Finding the Third Proportional to 210,207 and 323,086.50

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Solution

The third proportional to 210,207 and 323,086.50 is: 496,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,207 : 323,086.50 = 323,086.50 : x
  2. Step 2: Convert to fraction form
    210,207/323,086.50 = 323,086.50/x
  3. Step 3: Cross multiply
    210,207x = 323,086.50 × 323,086.50
  4. Step 4: Simplify right side
    210,207x = 104,384,886,482.25
  5. Step 5: Solve for x
    x = 104,384,886,482.25/210,207
  6. Step 6: Final answer
    x = 496,581.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.