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Finding the Third Proportional to 164,658 and 342,237

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Solution

The third proportional to 164,658 and 342,237 is: 711,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,658 : 342,237 = 342,237 : x
  2. Step 2: Convert to fraction form
    164,658/342,237 = 342,237/x
  3. Step 3: Cross multiply
    164,658x = 342,237 × 342,237
  4. Step 4: Simplify right side
    164,658x = 117,126,164,169
  5. Step 5: Solve for x
    x = 117,126,164,169/164,658
  6. Step 6: Final answer
    x = 711,329.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.