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Finding the Third Proportional to 153,240 and 328,944

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Solution

The third proportional to 153,240 and 328,944 is: 706,109.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,240 : 328,944 = 328,944 : x
  2. Step 2: Convert to fraction form
    153,240/328,944 = 328,944/x
  3. Step 3: Cross multiply
    153,240x = 328,944 × 328,944
  4. Step 4: Simplify right side
    153,240x = 108,204,155,136
  5. Step 5: Solve for x
    x = 108,204,155,136/153,240
  6. Step 6: Final answer
    x = 706,109.08

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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.