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Finding the Third Proportional to 181,635 and 249,335.44

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Solution

The third proportional to 181,635 and 249,335.44 is: 342,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,635 : 249,335.44 = 249,335.44 : x
  2. Step 2: Convert to fraction form
    181,635/249,335.44 = 249,335.44/x
  3. Step 3: Cross multiply
    181,635x = 249,335.44 × 249,335.44
  4. Step 4: Simplify right side
    181,635x = 62,168,160,393.32
  5. Step 5: Solve for x
    x = 62,168,160,393.32/181,635
  6. Step 6: Final answer
    x = 342,269.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.