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Finding the Third Proportional to 165,700 and 260,358

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Solution

The third proportional to 165,700 and 260,358 is: 409,090.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,700 : 260,358 = 260,358 : x
  2. Step 2: Convert to fraction form
    165,700/260,358 = 260,358/x
  3. Step 3: Cross multiply
    165,700x = 260,358 × 260,358
  4. Step 4: Simplify right side
    165,700x = 67,786,288,164
  5. Step 5: Solve for x
    x = 67,786,288,164/165,700
  6. Step 6: Final answer
    x = 409,090.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.