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Finding the Third Proportional to 164,610 and 245,943

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Solution

The third proportional to 164,610 and 245,943 is: 367,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,610 : 245,943 = 245,943 : x
  2. Step 2: Convert to fraction form
    164,610/245,943 = 245,943/x
  3. Step 3: Cross multiply
    164,610x = 245,943 × 245,943
  4. Step 4: Simplify right side
    164,610x = 60,487,959,249
  5. Step 5: Solve for x
    x = 60,487,959,249/164,610
  6. Step 6: Final answer
    x = 367,462.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.