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Finding the Third Proportional to 108,998 and 235,196

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Solution

The third proportional to 108,998 and 235,196 is: 507,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,998 : 235,196 = 235,196 : x
  2. Step 2: Convert to fraction form
    108,998/235,196 = 235,196/x
  3. Step 3: Cross multiply
    108,998x = 235,196 × 235,196
  4. Step 4: Simplify right side
    108,998x = 55,317,158,416
  5. Step 5: Solve for x
    x = 55,317,158,416/108,998
  6. Step 6: Final answer
    x = 507,506.18

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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.