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Finding the Third Proportional to 144,810 and 214,959

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Solution

The third proportional to 144,810 and 214,959 is: 319,089.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,810 : 214,959 = 214,959 : x
  2. Step 2: Convert to fraction form
    144,810/214,959 = 214,959/x
  3. Step 3: Cross multiply
    144,810x = 214,959 × 214,959
  4. Step 4: Simplify right side
    144,810x = 46,207,371,681
  5. Step 5: Solve for x
    x = 46,207,371,681/144,810
  6. Step 6: Final answer
    x = 319,089.65

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.