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Finding the Third Proportional to 224,577.56 and 346,901.06

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Solution

The third proportional to 224,577.56 and 346,901.06 is: 535,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,577.56 : 346,901.06 = 346,901.06 : x
  2. Step 2: Convert to fraction form
    224,577.56/346,901.06 = 346,901.06/x
  3. Step 3: Cross multiply
    224,577.56x = 346,901.06 × 346,901.06
  4. Step 4: Simplify right side
    224,577.56x = 120,340,347,163.63
  5. Step 5: Solve for x
    x = 120,340,347,163.63/224,577.56
  6. Step 6: Final answer
    x = 535,852.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.