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Finding the Third Proportional to 145,695 and 314,358

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Solution

The third proportional to 145,695 and 314,358 is: 678,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,695 : 314,358 = 314,358 : x
  2. Step 2: Convert to fraction form
    145,695/314,358 = 314,358/x
  3. Step 3: Cross multiply
    145,695x = 314,358 × 314,358
  4. Step 4: Simplify right side
    145,695x = 98,820,952,164
  5. Step 5: Solve for x
    x = 98,820,952,164/145,695
  6. Step 6: Final answer
    x = 678,272.78

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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.