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Finding the Third Proportional to 210,773 and 321,411.50

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Solution

The third proportional to 210,773 and 321,411.50 is: 490,126.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,773 : 321,411.50 = 321,411.50 : x
  2. Step 2: Convert to fraction form
    210,773/321,411.50 = 321,411.50/x
  3. Step 3: Cross multiply
    210,773x = 321,411.50 × 321,411.50
  4. Step 4: Simplify right side
    210,773x = 103,305,352,332.25
  5. Step 5: Solve for x
    x = 103,305,352,332.25/210,773
  6. Step 6: Final answer
    x = 490,126.12

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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.