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Finding the Third Proportional to 146,582 and 319,498

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Solution

The third proportional to 146,582 and 319,498 is: 696,395.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,582 : 319,498 = 319,498 : x
  2. Step 2: Convert to fraction form
    146,582/319,498 = 319,498/x
  3. Step 3: Cross multiply
    146,582x = 319,498 × 319,498
  4. Step 4: Simplify right side
    146,582x = 102,078,972,004
  5. Step 5: Solve for x
    x = 102,078,972,004/146,582
  6. Step 6: Final answer
    x = 696,395.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.