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Finding the Third Proportional to 148,748 and 208,053

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Solution

The third proportional to 148,748 and 208,053 is: 291,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,748 : 208,053 = 208,053 : x
  2. Step 2: Convert to fraction form
    148,748/208,053 = 208,053/x
  3. Step 3: Cross multiply
    148,748x = 208,053 × 208,053
  4. Step 4: Simplify right side
    148,748x = 43,286,050,809
  5. Step 5: Solve for x
    x = 43,286,050,809/148,748
  6. Step 6: Final answer
    x = 291,002.57

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.