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Finding the Third Proportional to 229,043 and 346,075

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Solution

The third proportional to 229,043 and 346,075 is: 522,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,043 : 346,075 = 346,075 : x
  2. Step 2: Convert to fraction form
    229,043/346,075 = 346,075/x
  3. Step 3: Cross multiply
    229,043x = 346,075 × 346,075
  4. Step 4: Simplify right side
    229,043x = 119,767,905,625
  5. Step 5: Solve for x
    x = 119,767,905,625/229,043
  6. Step 6: Final answer
    x = 522,905.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.