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Finding the Third Proportional to 145,440 and 317,160

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Solution

The third proportional to 145,440 and 317,160 is: 691,628.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,440 : 317,160 = 317,160 : x
  2. Step 2: Convert to fraction form
    145,440/317,160 = 317,160/x
  3. Step 3: Cross multiply
    145,440x = 317,160 × 317,160
  4. Step 4: Simplify right side
    145,440x = 100,590,465,600
  5. Step 5: Solve for x
    x = 100,590,465,600/145,440
  6. Step 6: Final answer
    x = 691,628.61

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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.