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Finding the Third Proportional to 201,312 and 470,160

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Solution

The third proportional to 201,312 and 470,160 is: 1,098,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,312 : 470,160 = 470,160 : x
  2. Step 2: Convert to fraction form
    201,312/470,160 = 470,160/x
  3. Step 3: Cross multiply
    201,312x = 470,160 × 470,160
  4. Step 4: Simplify right side
    201,312x = 221,050,425,600
  5. Step 5: Solve for x
    x = 221,050,425,600/201,312
  6. Step 6: Final answer
    x = 1,098,048.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.