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Finding the Third Proportional to 160,416.07 and 348,543.63

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Solution

The third proportional to 160,416.07 and 348,543.63 is: 757,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,416.07 : 348,543.63 = 348,543.63 : x
  2. Step 2: Convert to fraction form
    160,416.07/348,543.63 = 348,543.63/x
  3. Step 3: Cross multiply
    160,416.07x = 348,543.63 × 348,543.63
  4. Step 4: Simplify right side
    160,416.07x = 121,482,663,974.14
  5. Step 5: Solve for x
    x = 121,482,663,974.14/160,416.07
  6. Step 6: Final answer
    x = 757,297.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.