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Finding the Third Proportional to 212,973.75 and 458,752.50

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Solution

The third proportional to 212,973.75 and 458,752.50 is: 988,168.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,973.75 : 458,752.50 = 458,752.50 : x
  2. Step 2: Convert to fraction form
    212,973.75/458,752.50 = 458,752.50/x
  3. Step 3: Cross multiply
    212,973.75x = 458,752.50 × 458,752.50
  4. Step 4: Simplify right side
    212,973.75x = 210,453,856,256.25
  5. Step 5: Solve for x
    x = 210,453,856,256.25/212,973.75
  6. Step 6: Final answer
    x = 988,168.05

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.