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Finding the Third Proportional to 144,004 and 310,984

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Solution

The third proportional to 144,004 and 310,984 is: 671,585.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,004 : 310,984 = 310,984 : x
  2. Step 2: Convert to fraction form
    144,004/310,984 = 310,984/x
  3. Step 3: Cross multiply
    144,004x = 310,984 × 310,984
  4. Step 4: Simplify right side
    144,004x = 96,711,048,256
  5. Step 5: Solve for x
    x = 96,711,048,256/144,004
  6. Step 6: Final answer
    x = 671,585.85

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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.