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Finding the Third Proportional to 229,042.69 and 348,302.53

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Solution

The third proportional to 229,042.69 and 348,302.53 is: 529,659.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,042.69 : 348,302.53 = 348,302.53 : x
  2. Step 2: Convert to fraction form
    229,042.69/348,302.53 = 348,302.53/x
  3. Step 3: Cross multiply
    229,042.69x = 348,302.53 × 348,302.53
  4. Step 4: Simplify right side
    229,042.69x = 121,314,653,275.16
  5. Step 5: Solve for x
    x = 121,314,653,275.16/229,042.69
  6. Step 6: Final answer
    x = 529,659.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.