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Finding the Third Proportional to 157,642 and 350,276

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Solution

The third proportional to 157,642 and 350,276 is: 778,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,642 : 350,276 = 350,276 : x
  2. Step 2: Convert to fraction form
    157,642/350,276 = 350,276/x
  3. Step 3: Cross multiply
    157,642x = 350,276 × 350,276
  4. Step 4: Simplify right side
    157,642x = 122,693,276,176
  5. Step 5: Solve for x
    x = 122,693,276,176/157,642
  6. Step 6: Final answer
    x = 778,303.22

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.