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Finding the Third Proportional to 210,070 and 314,371.50

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Solution

The third proportional to 210,070 and 314,371.50 is: 470,459.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,070 : 314,371.50 = 314,371.50 : x
  2. Step 2: Convert to fraction form
    210,070/314,371.50 = 314,371.50/x
  3. Step 3: Cross multiply
    210,070x = 314,371.50 × 314,371.50
  4. Step 4: Simplify right side
    210,070x = 98,829,440,012.25
  5. Step 5: Solve for x
    x = 98,829,440,012.25/210,070
  6. Step 6: Final answer
    x = 470,459.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.