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Finding the Third Proportional to 212,283 and 314,455.50

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Solution

The third proportional to 212,283 and 314,455.50 is: 465,803.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,283 : 314,455.50 = 314,455.50 : x
  2. Step 2: Convert to fraction form
    212,283/314,455.50 = 314,455.50/x
  3. Step 3: Cross multiply
    212,283x = 314,455.50 × 314,455.50
  4. Step 4: Simplify right side
    212,283x = 98,882,261,480.25
  5. Step 5: Solve for x
    x = 98,882,261,480.25/212,283
  6. Step 6: Final answer
    x = 465,803.96

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.