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Finding the Third Proportional to 145,310 and 307,905

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Solution

The third proportional to 145,310 and 307,905 is: 652,436.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,310 : 307,905 = 307,905 : x
  2. Step 2: Convert to fraction form
    145,310/307,905 = 307,905/x
  3. Step 3: Cross multiply
    145,310x = 307,905 × 307,905
  4. Step 4: Simplify right side
    145,310x = 94,805,489,025
  5. Step 5: Solve for x
    x = 94,805,489,025/145,310
  6. Step 6: Final answer
    x = 652,436.10

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.