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Finding the Third Proportional to 145,346 and 313,624

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Solution

The third proportional to 145,346 and 313,624 is: 676,730.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,346 : 313,624 = 313,624 : x
  2. Step 2: Convert to fraction form
    145,346/313,624 = 313,624/x
  3. Step 3: Cross multiply
    145,346x = 313,624 × 313,624
  4. Step 4: Simplify right side
    145,346x = 98,360,013,376
  5. Step 5: Solve for x
    x = 98,360,013,376/145,346
  6. Step 6: Final answer
    x = 676,730.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.