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Finding the Third Proportional to 141,428 and 304,996

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Solution

The third proportional to 141,428 and 304,996 is: 657,737.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,428 : 304,996 = 304,996 : x
  2. Step 2: Convert to fraction form
    141,428/304,996 = 304,996/x
  3. Step 3: Cross multiply
    141,428x = 304,996 × 304,996
  4. Step 4: Simplify right side
    141,428x = 93,022,560,016
  5. Step 5: Solve for x
    x = 93,022,560,016/141,428
  6. Step 6: Final answer
    x = 657,737.93

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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.