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Finding the Third Proportional to 160,278.75 and 346,254.75

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Solution

The third proportional to 160,278.75 and 346,254.75 is: 748,024.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,278.75 : 346,254.75 = 346,254.75 : x
  2. Step 2: Convert to fraction form
    160,278.75/346,254.75 = 346,254.75/x
  3. Step 3: Cross multiply
    160,278.75x = 346,254.75 × 346,254.75
  4. Step 4: Simplify right side
    160,278.75x = 119,892,351,897.56
  5. Step 5: Solve for x
    x = 119,892,351,897.56/160,278.75
  6. Step 6: Final answer
    x = 748,024.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.