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Finding the Third Proportional to 164,320 and 353,547

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Solution

The third proportional to 164,320 and 353,547 is: 760,683.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,320 : 353,547 = 353,547 : x
  2. Step 2: Convert to fraction form
    164,320/353,547 = 353,547/x
  3. Step 3: Cross multiply
    164,320x = 353,547 × 353,547
  4. Step 4: Simplify right side
    164,320x = 124,995,481,209
  5. Step 5: Solve for x
    x = 124,995,481,209/164,320
  6. Step 6: Final answer
    x = 760,683.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.