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Finding the Third Proportional to 164,101 and 245,877

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Solution

The third proportional to 164,101 and 245,877 is: 368,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,101 : 245,877 = 245,877 : x
  2. Step 2: Convert to fraction form
    164,101/245,877 = 245,877/x
  3. Step 3: Cross multiply
    164,101x = 245,877 × 245,877
  4. Step 4: Simplify right side
    164,101x = 60,455,499,129
  5. Step 5: Solve for x
    x = 60,455,499,129/164,101
  6. Step 6: Final answer
    x = 368,404.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.