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Finding the Third Proportional to 145,836 and 191,498

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Solution

The third proportional to 145,836 and 191,498 is: 251,457.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,836 : 191,498 = 191,498 : x
  2. Step 2: Convert to fraction form
    145,836/191,498 = 191,498/x
  3. Step 3: Cross multiply
    145,836x = 191,498 × 191,498
  4. Step 4: Simplify right side
    145,836x = 36,671,484,004
  5. Step 5: Solve for x
    x = 36,671,484,004/145,836
  6. Step 6: Final answer
    x = 251,457.01

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.