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Finding the Third Proportional to 145,460 and 304,160

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Solution

The third proportional to 145,460 and 304,160 is: 636,005.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,460 : 304,160 = 304,160 : x
  2. Step 2: Convert to fraction form
    145,460/304,160 = 304,160/x
  3. Step 3: Cross multiply
    145,460x = 304,160 × 304,160
  4. Step 4: Simplify right side
    145,460x = 92,513,305,600
  5. Step 5: Solve for x
    x = 92,513,305,600/145,460
  6. Step 6: Final answer
    x = 636,005.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.