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Finding the Third Proportional to 145,898 and 317,359

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Solution

The third proportional to 145,898 and 317,359 is: 690,322.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,898 : 317,359 = 317,359 : x
  2. Step 2: Convert to fraction form
    145,898/317,359 = 317,359/x
  3. Step 3: Cross multiply
    145,898x = 317,359 × 317,359
  4. Step 4: Simplify right side
    145,898x = 100,716,734,881
  5. Step 5: Solve for x
    x = 100,716,734,881/145,898
  6. Step 6: Final answer
    x = 690,322.93

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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.