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Finding the Third Proportional to 142,294 and 310,346

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Solution

The third proportional to 142,294 and 310,346 is: 676,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294 : 310,346 = 310,346 : x
  2. Step 2: Convert to fraction form
    142,294/310,346 = 310,346/x
  3. Step 3: Cross multiply
    142,294x = 310,346 × 310,346
  4. Step 4: Simplify right side
    142,294x = 96,314,639,716
  5. Step 5: Solve for x
    x = 96,314,639,716/142,294
  6. Step 6: Final answer
    x = 676,870.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.