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Finding the Third Proportional to 153,464 and 317,584

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Solution

The third proportional to 153,464 and 317,584 is: 657,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,464 : 317,584 = 317,584 : x
  2. Step 2: Convert to fraction form
    153,464/317,584 = 317,584/x
  3. Step 3: Cross multiply
    153,464x = 317,584 × 317,584
  4. Step 4: Simplify right side
    153,464x = 100,859,597,056
  5. Step 5: Solve for x
    x = 100,859,597,056/153,464
  6. Step 6: Final answer
    x = 657,219.92

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.