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Finding the Third Proportional to 202,346 and 437,113

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Solution

The third proportional to 202,346 and 437,113 is: 944,262.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,346 : 437,113 = 437,113 : x
  2. Step 2: Convert to fraction form
    202,346/437,113 = 437,113/x
  3. Step 3: Cross multiply
    202,346x = 437,113 × 437,113
  4. Step 4: Simplify right side
    202,346x = 191,067,774,769
  5. Step 5: Solve for x
    x = 191,067,774,769/202,346
  6. Step 6: Final answer
    x = 944,262.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.