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Finding the Third Proportional to 164,610 and 241,065

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Solution

The third proportional to 164,610 and 241,065 is: 353,030.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,610 : 241,065 = 241,065 : x
  2. Step 2: Convert to fraction form
    164,610/241,065 = 241,065/x
  3. Step 3: Cross multiply
    164,610x = 241,065 × 241,065
  4. Step 4: Simplify right side
    164,610x = 58,112,334,225
  5. Step 5: Solve for x
    x = 58,112,334,225/164,610
  6. Step 6: Final answer
    x = 353,030.40

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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.