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Finding the Third Proportional to 153,677 and 237,332

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Solution

The third proportional to 153,677 and 237,332 is: 366,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,677 : 237,332 = 237,332 : x
  2. Step 2: Convert to fraction form
    153,677/237,332 = 237,332/x
  3. Step 3: Cross multiply
    153,677x = 237,332 × 237,332
  4. Step 4: Simplify right side
    153,677x = 56,326,478,224
  5. Step 5: Solve for x
    x = 56,326,478,224/153,677
  6. Step 6: Final answer
    x = 366,525.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.