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Finding the Third Proportional to 165,010 and 257,370

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Solution

The third proportional to 165,010 and 257,370 is: 401,426.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,010 : 257,370 = 257,370 : x
  2. Step 2: Convert to fraction form
    165,010/257,370 = 257,370/x
  3. Step 3: Cross multiply
    165,010x = 257,370 × 257,370
  4. Step 4: Simplify right side
    165,010x = 66,239,316,900
  5. Step 5: Solve for x
    x = 66,239,316,900/165,010
  6. Step 6: Final answer
    x = 401,426.08

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.