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Finding the Third Proportional to 202,658 and 296,169

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Solution

The third proportional to 202,658 and 296,169 is: 432,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,658 : 296,169 = 296,169 : x
  2. Step 2: Convert to fraction form
    202,658/296,169 = 296,169/x
  3. Step 3: Cross multiply
    202,658x = 296,169 × 296,169
  4. Step 4: Simplify right side
    202,658x = 87,716,076,561
  5. Step 5: Solve for x
    x = 87,716,076,561/202,658
  6. Step 6: Final answer
    x = 432,828.10

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.