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Finding the Third Proportional to 146,572 and 319,392

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Solution

The third proportional to 146,572 and 319,392 is: 695,980.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,572 : 319,392 = 319,392 : x
  2. Step 2: Convert to fraction form
    146,572/319,392 = 319,392/x
  3. Step 3: Cross multiply
    146,572x = 319,392 × 319,392
  4. Step 4: Simplify right side
    146,572x = 102,011,249,664
  5. Step 5: Solve for x
    x = 102,011,249,664/146,572
  6. Step 6: Final answer
    x = 695,980.47

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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.