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Finding the Third Proportional to 164,180 and 249,580.50

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Solution

The third proportional to 164,180 and 249,580.50 is: 379,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,180 : 249,580.50 = 249,580.50 : x
  2. Step 2: Convert to fraction form
    164,180/249,580.50 = 249,580.50/x
  3. Step 3: Cross multiply
    164,180x = 249,580.50 × 249,580.50
  4. Step 4: Simplify right side
    164,180x = 62,290,425,980.25
  5. Step 5: Solve for x
    x = 62,290,425,980.25/164,180
  6. Step 6: Final answer
    x = 379,403.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.