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Finding the Third Proportional to 161,484 and 337,752

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Solution

The third proportional to 161,484 and 337,752 is: 706,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,484 : 337,752 = 337,752 : x
  2. Step 2: Convert to fraction form
    161,484/337,752 = 337,752/x
  3. Step 3: Cross multiply
    161,484x = 337,752 × 337,752
  4. Step 4: Simplify right side
    161,484x = 114,076,413,504
  5. Step 5: Solve for x
    x = 114,076,413,504/161,484
  6. Step 6: Final answer
    x = 706,425.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.