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Finding the Third Proportional to 234,420 and 361,357.50

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Solution

The third proportional to 234,420 and 361,357.50 is: 557,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,420 : 361,357.50 = 361,357.50 : x
  2. Step 2: Convert to fraction form
    234,420/361,357.50 = 361,357.50/x
  3. Step 3: Cross multiply
    234,420x = 361,357.50 × 361,357.50
  4. Step 4: Simplify right side
    234,420x = 130,579,242,806.25
  5. Step 5: Solve for x
    x = 130,579,242,806.25/234,420
  6. Step 6: Final answer
    x = 557,031.15

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.