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Finding the Third Proportional to 118,526 and 256,726

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Solution

The third proportional to 118,526 and 256,726 is: 556,065.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,526 : 256,726 = 256,726 : x
  2. Step 2: Convert to fraction form
    118,526/256,726 = 256,726/x
  3. Step 3: Cross multiply
    118,526x = 256,726 × 256,726
  4. Step 4: Simplify right side
    118,526x = 65,908,239,076
  5. Step 5: Solve for x
    x = 65,908,239,076/118,526
  6. Step 6: Final answer
    x = 556,065.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.