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Finding the Third Proportional to 145,860 and 186,363

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Solution

The third proportional to 145,860 and 186,363 is: 238,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,860 : 186,363 = 186,363 : x
  2. Step 2: Convert to fraction form
    145,860/186,363 = 186,363/x
  3. Step 3: Cross multiply
    145,860x = 186,363 × 186,363
  4. Step 4: Simplify right side
    145,860x = 34,731,167,769
  5. Step 5: Solve for x
    x = 34,731,167,769/145,860
  6. Step 6: Final answer
    x = 238,113.04

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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.