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Finding the Third Proportional to 152,362 and 328,138

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Solution

The third proportional to 152,362 and 328,138 is: 706,702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,362 : 328,138 = 328,138 : x
  2. Step 2: Convert to fraction form
    152,362/328,138 = 328,138/x
  3. Step 3: Cross multiply
    152,362x = 328,138 × 328,138
  4. Step 4: Simplify right side
    152,362x = 107,674,547,044
  5. Step 5: Solve for x
    x = 107,674,547,044/152,362
  6. Step 6: Final answer
    x = 706,702.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.