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Finding the Third Proportional to 142,788 and 317,490

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Solution

The third proportional to 142,788 and 317,490 is: 705,940.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,788 : 317,490 = 317,490 : x
  2. Step 2: Convert to fraction form
    142,788/317,490 = 317,490/x
  3. Step 3: Cross multiply
    142,788x = 317,490 × 317,490
  4. Step 4: Simplify right side
    142,788x = 100,799,900,100
  5. Step 5: Solve for x
    x = 100,799,900,100/142,788
  6. Step 6: Final answer
    x = 705,940.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.