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Finding the Third Proportional to 164,374 and 353,719

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Solution

The third proportional to 164,374 and 353,719 is: 761,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,374 : 353,719 = 353,719 : x
  2. Step 2: Convert to fraction form
    164,374/353,719 = 353,719/x
  3. Step 3: Cross multiply
    164,374x = 353,719 × 353,719
  4. Step 4: Simplify right side
    164,374x = 125,117,130,961
  5. Step 5: Solve for x
    x = 125,117,130,961/164,374
  6. Step 6: Final answer
    x = 761,173.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.