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Finding the Third Proportional to 157,770 and 238,288.50

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Solution

The third proportional to 157,770 and 238,288.50 is: 359,899.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,770 : 238,288.50 = 238,288.50 : x
  2. Step 2: Convert to fraction form
    157,770/238,288.50 = 238,288.50/x
  3. Step 3: Cross multiply
    157,770x = 238,288.50 × 238,288.50
  4. Step 4: Simplify right side
    157,770x = 56,781,409,232.25
  5. Step 5: Solve for x
    x = 56,781,409,232.25/157,770
  6. Step 6: Final answer
    x = 359,899.91

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