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Finding the Third Proportional to 158,598 and 245,457

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Solution

The third proportional to 158,598 and 245,457 is: 379,885.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,598 : 245,457 = 245,457 : x
  2. Step 2: Convert to fraction form
    158,598/245,457 = 245,457/x
  3. Step 3: Cross multiply
    158,598x = 245,457 × 245,457
  4. Step 4: Simplify right side
    158,598x = 60,249,138,849
  5. Step 5: Solve for x
    x = 60,249,138,849/158,598
  6. Step 6: Final answer
    x = 379,885.87

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.