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Finding the Third Proportional to 161,239 and 254,224.50

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Solution

The third proportional to 161,239 and 254,224.50 is: 400,834.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,239 : 254,224.50 = 254,224.50 : x
  2. Step 2: Convert to fraction form
    161,239/254,224.50 = 254,224.50/x
  3. Step 3: Cross multiply
    161,239x = 254,224.50 × 254,224.50
  4. Step 4: Simplify right side
    161,239x = 64,630,096,400.25
  5. Step 5: Solve for x
    x = 64,630,096,400.25/161,239
  6. Step 6: Final answer
    x = 400,834.14

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.