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Finding the Third Proportional to 245,229 and 329,548.50

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Solution

The third proportional to 245,229 and 329,548.50 is: 442,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,229 : 329,548.50 = 329,548.50 : x
  2. Step 2: Convert to fraction form
    245,229/329,548.50 = 329,548.50/x
  3. Step 3: Cross multiply
    245,229x = 329,548.50 × 329,548.50
  4. Step 4: Simplify right side
    245,229x = 108,602,213,852.25
  5. Step 5: Solve for x
    x = 108,602,213,852.25/245,229
  6. Step 6: Final answer
    x = 442,860.40

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.