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Finding the Third Proportional to 153,596 and 240,428

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Solution

The third proportional to 153,596 and 240,428 is: 376,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,596 : 240,428 = 240,428 : x
  2. Step 2: Convert to fraction form
    153,596/240,428 = 240,428/x
  3. Step 3: Cross multiply
    153,596x = 240,428 × 240,428
  4. Step 4: Simplify right side
    153,596x = 57,805,623,184
  5. Step 5: Solve for x
    x = 57,805,623,184/153,596
  6. Step 6: Final answer
    x = 376,348.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.