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Finding the Third Proportional to 136,407 and 321,547

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Solution

The third proportional to 136,407 and 321,547 is: 757,970.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,407 : 321,547 = 321,547 : x
  2. Step 2: Convert to fraction form
    136,407/321,547 = 321,547/x
  3. Step 3: Cross multiply
    136,407x = 321,547 × 321,547
  4. Step 4: Simplify right side
    136,407x = 103,392,473,209
  5. Step 5: Solve for x
    x = 103,392,473,209/136,407
  6. Step 6: Final answer
    x = 757,970.44

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.