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Finding the Third Proportional to 151,479 and 212,395.50

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Solution

The third proportional to 151,479 and 212,395.50 is: 297,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,479 : 212,395.50 = 212,395.50 : x
  2. Step 2: Convert to fraction form
    151,479/212,395.50 = 212,395.50/x
  3. Step 3: Cross multiply
    151,479x = 212,395.50 × 212,395.50
  4. Step 4: Simplify right side
    151,479x = 45,111,848,420.25
  5. Step 5: Solve for x
    x = 45,111,848,420.25/151,479
  6. Step 6: Final answer
    x = 297,809.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.