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Finding the Third Proportional to 157,777 and 238,273.50

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Solution

The third proportional to 157,777 and 238,273.50 is: 359,838.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,777 : 238,273.50 = 238,273.50 : x
  2. Step 2: Convert to fraction form
    157,777/238,273.50 = 238,273.50/x
  3. Step 3: Cross multiply
    157,777x = 238,273.50 × 238,273.50
  4. Step 4: Simplify right side
    157,777x = 56,774,260,802.25
  5. Step 5: Solve for x
    x = 56,774,260,802.25/157,777
  6. Step 6: Final answer
    x = 359,838.64

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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.