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Finding the Third Proportional to 235,042 and 358,072

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Solution

The third proportional to 235,042 and 358,072 is: 545,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,042 : 358,072 = 358,072 : x
  2. Step 2: Convert to fraction form
    235,042/358,072 = 358,072/x
  3. Step 3: Cross multiply
    235,042x = 358,072 × 358,072
  4. Step 4: Simplify right side
    235,042x = 128,215,557,184
  5. Step 5: Solve for x
    x = 128,215,557,184/235,042
  6. Step 6: Final answer
    x = 545,500.62

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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.