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Finding the Third Proportional to 144,468 and 348,046

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Solution

The third proportional to 144,468 and 348,046 is: 838,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,468 : 348,046 = 348,046 : x
  2. Step 2: Convert to fraction form
    144,468/348,046 = 348,046/x
  3. Step 3: Cross multiply
    144,468x = 348,046 × 348,046
  4. Step 4: Simplify right side
    144,468x = 121,136,018,116
  5. Step 5: Solve for x
    x = 121,136,018,116/144,468
  6. Step 6: Final answer
    x = 838,497.23

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.