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Finding the Third Proportional to 161,464 and 249,009

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Solution

The third proportional to 161,464 and 249,009 is: 384,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,464 : 249,009 = 249,009 : x
  2. Step 2: Convert to fraction form
    161,464/249,009 = 249,009/x
  3. Step 3: Cross multiply
    161,464x = 249,009 × 249,009
  4. Step 4: Simplify right side
    161,464x = 62,005,482,081
  5. Step 5: Solve for x
    x = 62,005,482,081/161,464
  6. Step 6: Final answer
    x = 384,020.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.