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Finding the Third Proportional to 144,664 and 322,528

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Solution

The third proportional to 144,664 and 322,528 is: 719,075.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,664 : 322,528 = 322,528 : x
  2. Step 2: Convert to fraction form
    144,664/322,528 = 322,528/x
  3. Step 3: Cross multiply
    144,664x = 322,528 × 322,528
  4. Step 4: Simplify right side
    144,664x = 104,024,310,784
  5. Step 5: Solve for x
    x = 104,024,310,784/144,664
  6. Step 6: Final answer
    x = 719,075.31

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.