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Finding the Third Proportional to 186,090 and 265,797

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Solution

The third proportional to 186,090 and 265,797 is: 379,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,090 : 265,797 = 265,797 : x
  2. Step 2: Convert to fraction form
    186,090/265,797 = 265,797/x
  3. Step 3: Cross multiply
    186,090x = 265,797 × 265,797
  4. Step 4: Simplify right side
    186,090x = 70,648,045,209
  5. Step 5: Solve for x
    x = 70,648,045,209/186,090
  6. Step 6: Final answer
    x = 379,644.50

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.