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Finding the Third Proportional to 130,965 and 282,798

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Solution

The third proportional to 130,965 and 282,798 is: 610,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,965 : 282,798 = 282,798 : x
  2. Step 2: Convert to fraction form
    130,965/282,798 = 282,798/x
  3. Step 3: Cross multiply
    130,965x = 282,798 × 282,798
  4. Step 4: Simplify right side
    130,965x = 79,974,708,804
  5. Step 5: Solve for x
    x = 79,974,708,804/130,965
  6. Step 6: Final answer
    x = 610,657.11

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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.