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Finding the Third Proportional to 225,270 and 314,941.50

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Solution

The third proportional to 225,270 and 314,941.50 is: 440,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,270 : 314,941.50 = 314,941.50 : x
  2. Step 2: Convert to fraction form
    225,270/314,941.50 = 314,941.50/x
  3. Step 3: Cross multiply
    225,270x = 314,941.50 × 314,941.50
  4. Step 4: Simplify right side
    225,270x = 99,188,148,422.25
  5. Step 5: Solve for x
    x = 99,188,148,422.25/225,270
  6. Step 6: Final answer
    x = 440,307.85

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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.