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Finding the Third Proportional to 145,895 and 208,627

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Solution

The third proportional to 145,895 and 208,627 is: 298,332.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,895 : 208,627 = 208,627 : x
  2. Step 2: Convert to fraction form
    145,895/208,627 = 208,627/x
  3. Step 3: Cross multiply
    145,895x = 208,627 × 208,627
  4. Step 4: Simplify right side
    145,895x = 43,525,225,129
  5. Step 5: Solve for x
    x = 43,525,225,129/145,895
  6. Step 6: Final answer
    x = 298,332.53

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.