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Finding the Third Proportional to 141,486 and 305,076

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Solution

The third proportional to 141,486 and 305,076 is: 657,813.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,486 : 305,076 = 305,076 : x
  2. Step 2: Convert to fraction form
    141,486/305,076 = 305,076/x
  3. Step 3: Cross multiply
    141,486x = 305,076 × 305,076
  4. Step 4: Simplify right side
    141,486x = 93,071,365,776
  5. Step 5: Solve for x
    x = 93,071,365,776/141,486
  6. Step 6: Final answer
    x = 657,813.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.