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Finding the Third Proportional to 145,854 and 186,354

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Solution

The third proportional to 145,854 and 186,354 is: 238,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,854 : 186,354 = 186,354 : x
  2. Step 2: Convert to fraction form
    145,854/186,354 = 186,354/x
  3. Step 3: Cross multiply
    145,854x = 186,354 × 186,354
  4. Step 4: Simplify right side
    145,854x = 34,727,813,316
  5. Step 5: Solve for x
    x = 34,727,813,316/145,854
  6. Step 6: Final answer
    x = 238,099.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.