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Finding the Third Proportional to 175,158 and 385,308

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Solution

The third proportional to 175,158 and 385,308 is: 847,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,158 : 385,308 = 385,308 : x
  2. Step 2: Convert to fraction form
    175,158/385,308 = 385,308/x
  3. Step 3: Cross multiply
    175,158x = 385,308 × 385,308
  4. Step 4: Simplify right side
    175,158x = 148,462,254,864
  5. Step 5: Solve for x
    x = 148,462,254,864/175,158
  6. Step 6: Final answer
    x = 847,590.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.