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Finding the Third Proportional to 134,628 and 295,368

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Solution

The third proportional to 134,628 and 295,368 is: 648,024.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,628 : 295,368 = 295,368 : x
  2. Step 2: Convert to fraction form
    134,628/295,368 = 295,368/x
  3. Step 3: Cross multiply
    134,628x = 295,368 × 295,368
  4. Step 4: Simplify right side
    134,628x = 87,242,255,424
  5. Step 5: Solve for x
    x = 87,242,255,424/134,628
  6. Step 6: Final answer
    x = 648,024.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.