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Finding the Third Proportional to 144,360 and 321,528

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Solution

The third proportional to 144,360 and 321,528 is: 716,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,360 : 321,528 = 321,528 : x
  2. Step 2: Convert to fraction form
    144,360/321,528 = 321,528/x
  3. Step 3: Cross multiply
    144,360x = 321,528 × 321,528
  4. Step 4: Simplify right side
    144,360x = 103,380,254,784
  5. Step 5: Solve for x
    x = 103,380,254,784/144,360
  6. Step 6: Final answer
    x = 716,128.12

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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.