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Finding the Third Proportional to 141,415 and 304,974

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Solution

The third proportional to 141,415 and 304,974 is: 657,703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,415 : 304,974 = 304,974 : x
  2. Step 2: Convert to fraction form
    141,415/304,974 = 304,974/x
  3. Step 3: Cross multiply
    141,415x = 304,974 × 304,974
  4. Step 4: Simplify right side
    141,415x = 93,009,140,676
  5. Step 5: Solve for x
    x = 93,009,140,676/141,415
  6. Step 6: Final answer
    x = 657,703.50

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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.