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Finding the Third Proportional to 164,547 and 349,853

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Solution

The third proportional to 164,547 and 349,853 is: 743,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,547 : 349,853 = 349,853 : x
  2. Step 2: Convert to fraction form
    164,547/349,853 = 349,853/x
  3. Step 3: Cross multiply
    164,547x = 349,853 × 349,853
  4. Step 4: Simplify right side
    164,547x = 122,397,121,609
  5. Step 5: Solve for x
    x = 122,397,121,609/164,547
  6. Step 6: Final answer
    x = 743,842.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.