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Finding the Third Proportional to 152,370 and 328,066

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Solution

The third proportional to 152,370 and 328,066 is: 706,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,370 : 328,066 = 328,066 : x
  2. Step 2: Convert to fraction form
    152,370/328,066 = 328,066/x
  3. Step 3: Cross multiply
    152,370x = 328,066 × 328,066
  4. Step 4: Simplify right side
    152,370x = 107,627,300,356
  5. Step 5: Solve for x
    x = 107,627,300,356/152,370
  6. Step 6: Final answer
    x = 706,354.93

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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.