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Finding the Third Proportional to 235,252 and 355,069.50

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Solution

The third proportional to 235,252 and 355,069.50 is: 535,911.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,252 : 355,069.50 = 355,069.50 : x
  2. Step 2: Convert to fraction form
    235,252/355,069.50 = 355,069.50/x
  3. Step 3: Cross multiply
    235,252x = 355,069.50 × 355,069.50
  4. Step 4: Simplify right side
    235,252x = 126,074,349,830.25
  5. Step 5: Solve for x
    x = 126,074,349,830.25/235,252
  6. Step 6: Final answer
    x = 535,911.92

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.