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Finding the Third Proportional to 139,762 and 310,484

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Solution

The third proportional to 139,762 and 310,484 is: 689,746.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,762 : 310,484 = 310,484 : x
  2. Step 2: Convert to fraction form
    139,762/310,484 = 310,484/x
  3. Step 3: Cross multiply
    139,762x = 310,484 × 310,484
  4. Step 4: Simplify right side
    139,762x = 96,400,314,256
  5. Step 5: Solve for x
    x = 96,400,314,256/139,762
  6. Step 6: Final answer
    x = 689,746.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.