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Finding the Third Proportional to 153,414 and 317,479.50

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Solution

The third proportional to 153,414 and 317,479.50 is: 657,001.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,414 : 317,479.50 = 317,479.50 : x
  2. Step 2: Convert to fraction form
    153,414/317,479.50 = 317,479.50/x
  3. Step 3: Cross multiply
    153,414x = 317,479.50 × 317,479.50
  4. Step 4: Simplify right side
    153,414x = 100,793,232,920.25
  5. Step 5: Solve for x
    x = 100,793,232,920.25/153,414
  6. Step 6: Final answer
    x = 657,001.53

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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.