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Finding the Third Proportional to 157,636.76 and 238,320.35

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Solution

The third proportional to 157,636.76 and 238,320.35 is: 360,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,636.76 : 238,320.35 = 238,320.35 : x
  2. Step 2: Convert to fraction form
    157,636.76/238,320.35 = 238,320.35/x
  3. Step 3: Cross multiply
    157,636.76x = 238,320.35 × 238,320.35
  4. Step 4: Simplify right side
    157,636.76x = 56,796,589,968.87
  5. Step 5: Solve for x
    x = 56,796,589,968.87/157,636.76
  6. Step 6: Final answer
    x = 360,300.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.