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Finding the Third Proportional to 153,461 and 328,239

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Solution

The third proportional to 153,461 and 328,239 is: 702,073.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,461 : 328,239 = 328,239 : x
  2. Step 2: Convert to fraction form
    153,461/328,239 = 328,239/x
  3. Step 3: Cross multiply
    153,461x = 328,239 × 328,239
  4. Step 4: Simplify right side
    153,461x = 107,740,841,121
  5. Step 5: Solve for x
    x = 107,740,841,121/153,461
  6. Step 6: Final answer
    x = 702,073.11

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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.