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Finding the Third Proportional to 160,714.13 and 380,750.63

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Solution

The third proportional to 160,714.13 and 380,750.63 is: 902,042.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,714.13 : 380,750.63 = 380,750.63 : x
  2. Step 2: Convert to fraction form
    160,714.13/380,750.63 = 380,750.63/x
  3. Step 3: Cross multiply
    160,714.13x = 380,750.63 × 380,750.63
  4. Step 4: Simplify right side
    160,714.13x = 144,971,038,437.89
  5. Step 5: Solve for x
    x = 144,971,038,437.89/160,714.13
  6. Step 6: Final answer
    x = 902,042.92

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These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.