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Finding the Third Proportional to 165,280 and 358,032

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Solution

The third proportional to 165,280 and 358,032 is: 775,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,280 : 358,032 = 358,032 : x
  2. Step 2: Convert to fraction form
    165,280/358,032 = 358,032/x
  3. Step 3: Cross multiply
    165,280x = 358,032 × 358,032
  4. Step 4: Simplify right side
    165,280x = 128,186,913,024
  5. Step 5: Solve for x
    x = 128,186,913,024/165,280
  6. Step 6: Final answer
    x = 775,574.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.