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Finding the Third Proportional to 145,824 and 208,527

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Solution

The third proportional to 145,824 and 208,527 is: 298,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,824 : 208,527 = 208,527 : x
  2. Step 2: Convert to fraction form
    145,824/208,527 = 208,527/x
  3. Step 3: Cross multiply
    145,824x = 208,527 × 208,527
  4. Step 4: Simplify right side
    145,824x = 43,483,509,729
  5. Step 5: Solve for x
    x = 43,483,509,729/145,824
  6. Step 6: Final answer
    x = 298,191.72

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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.