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Finding the Third Proportional to 214,072.88 and 288,354.94

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Solution

The third proportional to 214,072.88 and 288,354.94 is: 388,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,072.88 : 288,354.94 = 288,354.94 : x
  2. Step 2: Convert to fraction form
    214,072.88/288,354.94 = 288,354.94/x
  3. Step 3: Cross multiply
    214,072.88x = 288,354.94 × 288,354.94
  4. Step 4: Simplify right side
    214,072.88x = 83,148,569,980.63
  5. Step 5: Solve for x
    x = 83,148,569,980.63/214,072.88
  6. Step 6: Final answer
    x = 388,412.45

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.