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Finding the Third Proportional to 145,656 and 317,664

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Solution

The third proportional to 145,656 and 317,664 is: 692,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,656 : 317,664 = 317,664 : x
  2. Step 2: Convert to fraction form
    145,656/317,664 = 317,664/x
  3. Step 3: Cross multiply
    145,656x = 317,664 × 317,664
  4. Step 4: Simplify right side
    145,656x = 100,910,416,896
  5. Step 5: Solve for x
    x = 100,910,416,896/145,656
  6. Step 6: Final answer
    x = 692,799.59

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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.