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Finding the Third Proportional to 153,113 and 328,362

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Solution

The third proportional to 153,113 and 328,362 is: 704,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,113 : 328,362 = 328,362 : x
  2. Step 2: Convert to fraction form
    153,113/328,362 = 328,362/x
  3. Step 3: Cross multiply
    153,113x = 328,362 × 328,362
  4. Step 4: Simplify right side
    153,113x = 107,821,603,044
  5. Step 5: Solve for x
    x = 107,821,603,044/153,113
  6. Step 6: Final answer
    x = 704,196.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.