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Finding the Third Proportional to 235,044 and 358,077

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Solution

The third proportional to 235,044 and 358,077 is: 545,511.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,044 : 358,077 = 358,077 : x
  2. Step 2: Convert to fraction form
    235,044/358,077 = 358,077/x
  3. Step 3: Cross multiply
    235,044x = 358,077 × 358,077
  4. Step 4: Simplify right side
    235,044x = 128,219,137,929
  5. Step 5: Solve for x
    x = 128,219,137,929/235,044
  6. Step 6: Final answer
    x = 545,511.21

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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.