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Finding the Third Proportional to 157,676.63 and 238,155.19

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Solution

The third proportional to 157,676.63 and 238,155.19 is: 359,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,676.63 : 238,155.19 = 238,155.19 : x
  2. Step 2: Convert to fraction form
    157,676.63/238,155.19 = 238,155.19/x
  3. Step 3: Cross multiply
    157,676.63x = 238,155.19 × 238,155.19
  4. Step 4: Simplify right side
    157,676.63x = 56,717,893,333.16
  5. Step 5: Solve for x
    x = 56,717,893,333.16/157,676.63
  6. Step 6: Final answer
    x = 359,710.22

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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.