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Finding the Third Proportional to 157,666 and 364,627

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Solution

The third proportional to 157,666 and 364,627 is: 843,256.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,666 : 364,627 = 364,627 : x
  2. Step 2: Convert to fraction form
    157,666/364,627 = 364,627/x
  3. Step 3: Cross multiply
    157,666x = 364,627 × 364,627
  4. Step 4: Simplify right side
    157,666x = 132,952,849,129
  5. Step 5: Solve for x
    x = 132,952,849,129/157,666
  6. Step 6: Final answer
    x = 843,256.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.