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Finding the Third Proportional to 164,818.13 and 349,869.38

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Solution

The third proportional to 164,818.13 and 349,869.38 is: 742,688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,818.13 : 349,869.38 = 349,869.38 : x
  2. Step 2: Convert to fraction form
    164,818.13/349,869.38 = 349,869.38/x
  3. Step 3: Cross multiply
    164,818.13x = 349,869.38 × 349,869.38
  4. Step 4: Simplify right side
    164,818.13x = 122,408,579,562.89
  5. Step 5: Solve for x
    x = 122,408,579,562.89/164,818.13
  6. Step 6: Final answer
    x = 742,688.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.