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Finding the Third Proportional to 207,765 and 310,280.63

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Solution

The third proportional to 207,765 and 310,280.63 is: 463,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,765 : 310,280.63 = 310,280.63 : x
  2. Step 2: Convert to fraction form
    207,765/310,280.63 = 310,280.63/x
  3. Step 3: Cross multiply
    207,765x = 310,280.63 × 310,280.63
  4. Step 4: Simplify right side
    207,765x = 96,274,066,250.39
  5. Step 5: Solve for x
    x = 96,274,066,250.39/207,765
  6. Step 6: Final answer
    x = 463,379.62

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.